## What space percentages?

Percentages are another method of referring to components of things. For this reason a percent is a fraction.

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A portion is written as a number complied with by the portion sign "%", for instance 10%.

Percentages are commonly used come indicate part of total amounts of money for things like:

boosts discounts count profit/loss.

Percentages are also used to specify parts of areas and quantities, because that example:

30% that the floor area 10% the materials.

## Percentages room fractions

Percent (%) way per 100.

for this reason 50% is the portion 50/100 (50 components of 100) or (as a decimal fraction) 0.5.

100% refers to the entirety object.

The complying with diagrams show different percentages of blue shading ~ above a circle. The percentage and also the equivalent decimal fractions room shown.

## Percentages, decimals and also fractions

A particular value can be stood for as a percentage, decimal or fraction. These are various ways of reflecting the same value. The complying with table mirrors some examples.

Fraction, decimal and also percent values. FractionDecimalPercent
1/100 0.01 1%
1/20 0.05 5%
1/10 0.1 10%
1/5 0.2 20%
1/4 0.25 25%
1/3 0.3333... 33.33...%
1/2 0.5 50%
3/4 0.75 75%
4/5 0.8 80%
9/10 0.9 90%
1 100%

## Conversion

To transform a percent to a decimal:

remove the "%" authorize relocate the decimal suggest 2 locations to the left.

Example: The percent 25% together a decimal is 0.25.

To convert a decimal to a percentage:

relocate the decimal suggest 2 locations to the right add the "%" sign.

Example: The number 0.475 together a portion is 47.5%.

## Percentage calculations

"How lot is 15% of \$145?"

To calculate a percent of a number, convert the percent to a decimal and also then multiply the number through the decimal.

15% is equal to 0.15 for this reason to calculation 15% of \$145 usage this method:

0.15 x 145 = 21.75

So 15% that \$145 is same to \$21.75.

## Exercise 1

What is 35% of 500?

Type in her answer and also select submit because that feedback.

submit

## Exercise 2

What is 12.5% of \$200?

Type in her answer and select submit for feedback.

\$ submit

## Exercise 3

What is 79% of \$48.50?

Type in her answer and select submit for feedback.

Enter her answer together dollars and cents, zb 10.00 because that \$10.

\$ send

## Exercise 4

A new building calls for 8000 bricks for all the walls. The style requires a mixture that colours, 60% dark, 30% light and also 10% red. How plenty of of every brick colour have to be ordered?

How plenty of dark bricks? How countless light bricks? How numerous red bricks? submit

## Exercise 5

If the portion cost breakdown of building a brand-new house is 45% materials, 30% labour and 25% other. What will certainly be the prices of each because that a \$220,000 building?

Enter your answer all at once dollars only, zb 10 because that \$10.

Materials? \$ Labour?\$ Other?\$ send

## Percentages increase

exactly how to calculation the worth of a percentage increase.

"If the price of 4 litres of paint is \$56 and also the price boosts by 5%, what will certainly be the brand-new price?"

because 5% is equal to 0.05 you deserve to use this method:

0.05 x 56 = 2.8 (5% the 56) 5% of \$56 = \$2.80 price increase.

add the rise to the old price \$56 + \$2.80 = \$58.80 brand-new price.

## Exercise 6

The price of a hardware bespeak is \$173.00 prior to tax. Goods and also services taxation (GST) is 10%. What will certainly be the worth of the tax?

Type in her answer and select submit for feedback.

Enter your answer as dollars and also cents, eg 10.00 for \$10.

\$ send

## Exercise 7

The design for a laminated beam states cross sectional dimensions of 250 mm (height) by 90 mm (depth). Regulations need that the dimensions be boosted by 12%. Calculate the new dimensions that the beam (provide exact dimensions in millimetres – (21.792912 rounded to three decimal places). Even though timber might not be available in the size).

What is the brand-new height? mm What is the new width? mm submit

## Exercise 8

A residence roof requires 215 m of coloured corrugated steel. The present price is \$11.50 per metre and also is around to increase by 2%. Calculation the following:

Type in her answer and select submit because that feedback.

Enter your answer as as dollars and also cents, zb 10.00 for \$10.

What will certainly be the brand-new price per metre? \$ What would certainly be the total cost the the material before the price rise?\$ What will be the total cost the the material after the price rise?\$ send

## Percentages decrease

just how to calculation the value of a percentage decrease.

A mass order of timber attracts a discount that 12%. If the beginning price the an stimulate is \$2500 what will certainly be the worth of the discount and also the price ~ discount?

due to the fact that 12% is same to 0.12 you deserve to use this method:

discount = 0.12 x 2500 = 300

new price = starting price − discount  brand-new price = \$2500 − \$300  new price = \$2200

## Exercise 9

The trade discount on a mass order of insulation is 15%. The complete price of the order before discount is \$1435.00. What will be the complete price after the discount?

Type in her answer and also select submit for feedback.

Enter your answer together dollars and also cents, zb 10.00 because that \$10.

\$ send

## Exercise 10

The normal retail price for buying 2000 bit board screws off the shelf is \$150.00. The screws expense 80% much less if purchase in bulk boxes. Calculate:

What is the expense of a mass pack? Enter together dollars and also cents. \$ How countless cents is every screw as soon as bought in bulk? submit

## Exercise 11

A hardware keep is providing a "30% off" sale because that yellow tongue particle board flooring. The normal price every sheet is \$44.00. You have a job that calls for 40 sheets.

Enter her answer together as dollars and cents, zb 10.00 for \$10.

What is the typical price because that the order? \$ just how much money will be conserved if friend buy the flooring if on sale? \$ What will certainly be the total price the the order after the discount? \$ send

## Summary

This is the finish of the ar on percentages.

key points come remember are:

a percentage is a component of something; a fraction one percent (1%) is one hundredth (1/100) to transform a percentage to a decimal, move the decimal suggest 2 places to the left, and remove the "%" sign to convert a decimal to percentage, relocate the decimal suggest 2 places to the right, and include the "%" authorize come calculate a percentage the a number, convert the percentage to a decimal and then main point the number by the decimal a percentage increase way adding the value of the percent to the original value that a number a percentage decrease way subtracting the worth of the percentage from the original value of a number.

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