Skill: Convert percents to decimals

Explanation and Free Practice Resources

A percent is a rate per 100, so converting it to a decimal means expressing the same quantity in base-ten notation by dividing by 100, or moving the decimal point two places left and retaining zeros as needed (for example, 45%=0.4545\%=0.45, 7%=0.077\%=0.07, and 125%=1.25125\%=1.25). This connects percent, hundredths, and decimal place value for comparing quantities and solving proportional problems; the scope is exact, familiar terminating values rather than repeating decimals or more advanced generalized cases.

Detailed Explanation: Convert percents to decimals

A percent means “out of 100.” To write a percent as a decimal, divide by (100)(100), which moves the decimal point two places to the left.

Example: Convert (45%)(45\%) to a decimal.

  1. Write (45)(45) with a decimal point: (45.0)(45.0).
  2. Move the decimal point two places left:
45.0→4.50→0.45 45.0 \rightarrow 4.50 \rightarrow 0.45
  1. Therefore,
45%=0.45 45\% = 0.45

The zero in (0.45)(0.45) shows that (45%)(45\%) is (45)(45) hundredths.

Learn by doing: Convert percents to decimals

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Your results

Practice with unlimited practice problems

Percents to Decimals - Standard


    ?

    Download/Modify Free Grade 6 'Convert percents to decimals' Worksheet

    Print this free 'Convert percents to decimals' worksheet to practice this skill away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.

    Units Teaching This Skill

    These adaptive units introduce, teach, or reinforce this skill (Convert percents to decimals) through scaffolded problems that grow in difficulty as concepts are understood.

    Explore More Grade 6 Math