PERCENTAGES / ONE IDEA, WORKED THROUGH

Write a percentage as a decimal and a fraction

Use place value and fraction reduction to describe the same share three ways.

THE IDEA AT A GLANCE62.5% = 62.5 ÷ 100 = 0.625
01

Write the hidden denominator

The percent sign means “out of one hundred.” Thus 62.5% is the same quantity as 62.5/100. Dividing gives 0.625. Removing only the sign would leave 62.5, a number one hundred times too large.

Because 62.5% is between 0% and 100%, its decimal 0.625 lies between zero and one. Use that interval to check the placement of the decimal point.

02

Use the value in the right kind of field

A plain arithmetic expression needs the decimal multiplier: 48 × 0.625 = 30. The Percent of a number tool instead labels its field Percentage (%), so enter 62.5; it performs division by 100 for you.

Converting the rate before typing it into a percentage field applies the conversion twice. When a result seems one hundred times too small, check the field label before changing the formula.

03

Separate a share from a changed total

The share 30 is 62.5% of 48. If the question asks for an increase, add the share to the original to obtain 78. If it asks only for the part, stop at 30.

62.5% is also 625/1000 = 5/8. This exact fraction is useful when the whole is a multiple of 8. Converting representations can make arithmetic easier without changing the quantity.

LET’S WORK IT THROUGH

Find 62.5% of 48.

  1. Convert the rate: 62.5 ÷ 100 = 0.625.
  2. Multiply: 48 × 0.625 = 30.
  3. Check the scale against a fraction of 48.

THE ANSWERThe requested share is 30.

YOUR TURN

A small check for understanding.

Convert the decimal 0.625 back into a percentage.

Reveal the answer

62.5%. Multiply by 100 and restore the percent sign.

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.