Percent as Ratio Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
A shirt originally costs \45.Itisonsalefor. It is on sale for 20\%$ off. Find the sale price.

Solution

  1. 1
    Interpret 20%20\% as a ratio: 20%=20100=0.2020\% = \dfrac{20}{100} = 0.20.
  2. 2
    Calculate the discount: 0.20 \times 45 = \9.00$.
  3. 3
    Sale price = 45 - 9 = \36.00$.

Answer

The sale price is \36.00$.
Percent means 'per hundred' โ€” it is a ratio with denominator 100100. Converting the percent to a decimal ratio makes multiplication straightforward. The discount amount is then subtracted from the original price.

About Percent as Ratio

A ratio comparing a quantity to 100, written with the % symbol; 'per cent' literally means 'per hundred'.

Learn more about Percent as Ratio โ†’

More Percent as Ratio Examples

Example 2 medium

A student scores [formula] out of [formula] on a test. Express this as a percentage. Then determine

Example 3 easy

Convert each to the indicated form: (a) [formula] to percent, (b) [formula] to decimal, (c) [formula

Example 4 medium

A population grew from [formula] to [formula]. What is the percent increase?

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