Example

Solving '144 is what percent of 96?'

To translate and solve "144144 is what percent of 9696?", apply the percent-sentence-to-equation process:

  1. Assign a variable: Let pp = the unknown percent (which will initially be found in decimal form).
  2. Translate keyword by keyword: "144144" stays as 144144; "is" becomes ==; "what percent" becomes pp; "of" becomes multiplication; "9696" stays as 9696.
  3. Write the equation: 144=p×96144 = p \times 96, i.e., 144=96p144 = 96p.
  4. Divide both sides by 9696: 14496=96p96\frac{144}{96} = \frac{96p}{96}
  5. Simplify: p=1.5p = 1.5
  6. Convert to percent form: p=150%p = 150\%

Therefore, 144144 is 150%150\% of 9696.

Because the question asks for "what percent," the final answer must be expressed in percent form, not as a decimal. The decimal 1.51.5 is converted to 150%150\% by moving the decimal point two places to the right and attaching the percent sign. Notice that a percent can exceed 100%100\% whenever the amount is greater than the base.

0

1

Updated 2026-04-22

Contributors are:

Who are from:

Tags

OpenStax

Elementary Algebra @ OpenStax

Ch.3 Math Models - Elementary Algebra @ OpenStax

Algebra

Math

Prealgebra

Intermediate Algebra @ OpenStax

Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax

Related
Learn After