How To Find Percentage 6th Grade Math

What does per cent hateful?

Look at the given square. It is divided into 100 smaller squares. The shaded squares volition always be a fraction of 100.  There are 44 shaded small squares in this square. 44 out of 100 are shaded. You lot tin too say that 44/100 is shaded.  You tin besides say that 44 squares per hundred are shaded. When a fraction has 100 as the denominator, we call it a percent. 44/100 tin be called 44 per cent. Per cent means per hundred, every bit cent means hundred. Yous tin say that 44 per cent of the squares are shaded.

For per cent, we utilize the symbol "%". Thus 44 per cent will be written as 44%.

In unproblematic words, percentages are numerators of fractions with denominators 100. The percentage is likewise used to compare results.

Examples

Express each of the post-obit as a percentage

Finding Per cent of a number

To find the per cent of a number, nosotros write the per cent every bit a fraction with denominator 100 and then multiply by the number.

Example 1

Detect 75% of twenty

Solution

75% of 20

 = (75/100)  x 20

 = 15

Example 2

Find v% of £300

Solution

5% of £300

= (5/100) x 300

= £15

Writing per cent every bit a Decimal

In the offset step, write the per cent as a fraction with the denominator 100.

Then, write the fraction as a decimal.

Case

Write each per cent as a decimal.

Comparing of Results using Percentage

Suppose, Henry scored 240 marks out of 300 and Peter scored 210 marks out of 250. Whose operation is meliorate or what is the percentage of marks scored by them?

Solution

To compare, showtime put the marks in the course of a fraction, i.eastward. 240/300 or 210/250 respectively.

At present notice the percent of marks by multiplying the numerator and the denominator each by 100 as per cent means out of 100.

As Peter'south percentage is more than Henry's, his functioning is better.

Everyday Life Bug Involving Apply of Percentage

Example 1

There are 600 students in a school. sixty% are boys. How many girl students are in that location in the school?

Solution

If threescore% are boys in the school, and then 40% are girls.

threescore% of 600 = (60/100) x 600 = lx x 6 = 360

Therefore, number of boys in the school = 360

And

Number of girls in the school = 600 – 360 = 240

Example ii

Silvia had 24 pages to write. Past the evening, she had completed 25% of her work. How many pages were left?

Solution

Silvia had completed 25% of 24 pages by the evening.

Number of pages that were left = 75% of 24

 = (75/100) x 24

 = eighteen

Hence, 18 pages were left to be written.

Instance three

The regular price of a computer was £25,500. Alice bought information technology from an online shopping site, which was selling information technology at a twenty% disbelieve on the regular cost. How much discount did Alice get? How much did she pay for the calculator?

Solution

Regular toll of notebook computer = £25,500

Discount = 20% of £25,500

 = (20/100) ten £25,500

 = £5100

Corporeality paid by Alice = Regular Price – Discount

 = £25,500 – £five,100

= £20,400

Hence Alice paid £twenty,400 for the reckoner.

Example four

Jack earns £12000 per month. Out of this, he spends 60% of food and other items of daily need, 10% on rent and v% on petrol for his scooter. How much does he salvage every month?

Solution

Amount spent on food and other items = £(60% of 12000)

                                                                                = £(sixty/100  ten 12000)

                                                                                 = £(60 x 120)

                                                                                 = £7200

Rent paid = £(10% of £12000) = £ten/100  x 12000 = £(10 x 120) = £1200

Amount spent of petrol = £(5% of 12000)

                                                = £(5/100  x 12000) = £(5 x 120) = £600

Full monthly expenses = £(7200 + 1200 + 600)

                                                 = £9000

Hence, his saving every calendar month = £12000 – £9000 = £3000

Therefore, Jack saves £3000 every month.

Converting a Fraction or a Ratio into a Percent

Ratios when expressed as fractions can accept unlike denominators in their simplest form. to compare them beginning of all, a common denominator is needed. The comparison becomes more convenient if the denominator is 100. This implies that ratios are existence converted into percentages.

Instance

In a form of 50 students, the ratio of the number of boys to the number of girls is 3: 2. Detect the percentage of boys and girls in the class.

Solution

Unitary Method

The discussion unitary is derived from the word "unit" which means "1.

A unitary method is a method in which the value of a unit quantity is start derived to observe the value of any required quantity. In solving problems through the unitary method, two unlike things are compared every bit explained below:

1. When the full cost is compared with the number of items purchased, cost per item is obtained.
2. When the distance traveled is compared with the total time, the distance traveled per unit of measurement time is obtained.

Example

A train travels 1000 km in 5 hours. Observe the pct of altitude travelled past train in iii hours.

Solution

The distance travelled by a train in 5 hours  = chiliad km

The distance travelled by the train in 1 hour = g/5 km = 200 km

The distance travelled by the train in 3 hours = 200 km ten 3 = 600 km

Per centum = 600/1000 x 100 = 60%

A graphical representation of computing percentages has been presented below for improve understanding.

The guidance below will help you piece of work through per centum calculation problems including those institute on the percentage worksheets page.

As yous guide your child y'all should also accept the opportunity to explicate the importance and relevance of percentage calculations: pay rises, allowance rises, interest rates, discounts on auction items etc. Learning is always improved when the relevance of what is being learned is appreciated.

What is a percentage?

Percent means "for every 100" or "out of 100." The (%) symbol as a quick way to write a fraction with a denominator of 100. Every bit an instance, instead of saying "it rained xiv days out of every 100," we say "it rained 14% of the time."

Percentages can be written as decimals past moving the decimal point two places to the left:

Decimals can be written equally a percentages by moving the decimal point two places to the correct:

Formula for calculating percentages

The formulas for calculating percentages or for converting from percentages are relatively elementary.

To catechumen a fraction or decimal to a percentage, multiply by 100:

To convert a per centum to a fraction, divide by 100 and reduce the fraction (if possible):

Examples of percentage calculations

The following ii examples show how to calculate percentages.

i) 12 people out of a total of 25 were female. What percentage were female person?

ii) The cost of a $1.50 candy bar is increased by 20%. What was the new toll?

3) The tax on an item is $6.00. The taxation rate is xv%. What is the price without revenue enhancement?

Similar types of issues to those in the examples above are solved in a serial of iii mini-lessons onCalculating with Percent. These are listed below.

 #1: Introduction

 #two: Calculating with Percent e.g. 12% of fourscore is?

 #3: Calculating with Pct e.g. 6 out of 8 is what % and 15 is 30% of what?

Per centum Chart

This Percent Chart shows what 15% of $1 through $100 is although information technology is customizable and then you lot tin can set the percentage and the numbers to whatsoever you want.

Find one% – The Unitary Method

Handy Tip: A practiced way of finding percentages is to starting time by finding what 1% is.Example: What is 6% of 31?

Find 1%. Split by 100 (or motility the decimal point two places to the left)	31 ÷ 100 = .31
We now know what ane% is. We just need to multiply it by 6 to observe 6%	.31 x 6 = 1.86

6% of 31 is 1.86

You tin exercise calculating percentages past first finding i% (and/ or finding ten%) and so multiplying to become your terminal answer using this Calculating Percentages in Ii Steps Worksheet. At that place are also more percentage worksheets here too.

Common error when finding a per centum

Since percentages are often thought of as parts of a larger whole thing, there tin can be a tendency to carve up instead of multiply when faced with a problem such every bit "find 35% of lxxx." As the example below shows, after converting the per centum to a decimal, the next step is to multiply, not separate.

An understanding of percentage allows students to estimate to cheque whether their answer is reasonable. In this example, knowing that 35% is between one-quarter and ane-half would mean the answer should be somewhere between 20 and 40.

Recommended Worksheets

Percents and Discounts (Thanksgiving Themed) Math Worksheets
Applying Pct, Base, and Rate 6th Grade Math Worksheets

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