PERCENTAGES / THE HOW & THE WHY

Find a percentage without losing the whole

Turn a rate into an amount, keep track of the base, and check a discount before using the answer.

THE IDEA AT A GLANCEpart = rate ÷ 100 × whole
01

Start by naming the whole

A percentage describes a share of something. Before multiplying, decide what the 100% quantity represents: the original price, the class size, or the total distance. A correct rate applied to the wrong base still gives the wrong answer.

For a discount, the percentage usually tells you the amount removed. It does not directly tell you the final price. Keep those two quantities separate in your working.

02

Build the multiplier

Divide the written percentage by 100. Then multiply that decimal by the whole. A rate below 100% produces less than the whole when the whole is positive; a rate above 100% produces more.

Mental checks help: 10% is one tenth, 50% is one half, and 1% is one hundredth. You can combine these pieces to estimate a result before reaching for a calculator.

03

Avoid the double conversion

If a field is labeled Percentage (%), enter 18 for 18%, not 0.18. The calculator handles division by 100. Conversely, a formula written as decimal rate × amount needs 0.18.

For a final price, subtract the discount from the starting price. For a tip added to a bill, add the calculated amount. The percentage calculation is the same; the final action depends on the question.

LET’S WORK IT THROUGH

A jacket costs 150 units and is discounted by 18%. What do you save?

  1. 18 ÷ 100 = 0.18.
  2. 0.18 × 150 = 27 units saved.
  3. 150 − 27 = 123 units to pay.

THE ANSWERThe saving is 27; the final price is 123.

YOUR TURN

A small check for understanding.

What is 12% of 350?

Reveal the answer

42. Convert 12% to 0.12, then multiply by 350.

Now try your own numbers.

The percent of a number includes input guidance and the limits of its supported calculations. Use it alongside the method above.

Open Percent of a number ↗

A note on precision: preserve exact fractions where possible and round numerical results at the end. Found an unclear step? Prepare a correction report.