Percent as Ratio Math Example 3

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

Example 3

easy
Convert each to the indicated form: (a) 0.0450.045 to percent, (b) 130%130\% to decimal, (c) 38\dfrac{3}{8} to percent.

Solution

  1. 1
    (a) 0.045×100=4.5%0.045 \times 100 = 4.5\%.
  2. 2
    (b) 130÷100=1.30130 \div 100 = 1.30.
  3. 3
    (c) 38=0.375\dfrac{3}{8} = 0.375, so 0.375×100=37.5%0.375 \times 100 = 37.5\%.

Answer

(a) 4.5%4.5\%; (b) 1.301.30; (c) 37.5%37.5\%
Percent, decimal, and fraction are three representations of the same ratio. Multiplying a decimal by 100100 converts to percent; dividing a percent by 100100 gives a decimal; converting a fraction to decimal first simplifies the fraction-to-percent conversion.

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 →

More Percent as Ratio Examples

Example 1 easy

A shirt originally costs [formula]45[formula]20%$ off. Find the sale price.

Example 2 medium

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

Example 4 medium

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

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