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Finding the percent

Percent, ratio and scale, grade 6 Lesson 4 of 11Learning

Finding the percent

From a part to a percent
A check: 25% of 200 is 50.

There are 200 students in the sixth grade, and 50 of them are members of a youth movement.
What percent of the students are members of a youth movement?
As when finding the part: 50 out of 200 is 50200\displaystyle \frac{50}{200} of the students. Write the fraction with the denominator 100 – here you reduce by 2:

50200=25100=25%\displaystyle {\frac{50}{200}}={\frac{25}{100}}={25\%}

Reducing, then expanding

Sometimes 100 is not divisible by the denominator, and the denominator is not divisible by 100. Then reduce first, and expand to the denominator 100 after that.
9 out of 12:

912=34=75100=75%\displaystyle {\frac{9}{12}}={\frac{3}{4}}={\frac{75}{100}}={75\%}

Exercise 1

Write each part as a percent.

a
30 out of 200

    / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

    / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

    b
    12 out of 40

      / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

      / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

      c
      18 out of 24

        / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

        / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

        d
        7 out of 350

          / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

          / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

          Exercise 2

          There are 25 students in a class, and 15 of them are girls.
          What percent of the class are girls?

            / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

            / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

            Exercise 3

            Danny scored 12 baskets out of 16 throws.
            Yoav scored 14 out of 20 throws.
            Which of them scored the greater percent of his throws?

            a
            Danny

              / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

              / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power

              b
              Yoav

                / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – check and a new line · * – times · ^ – power, ↓ – end of the power

                / – fraction bar · Tab or the arrows – between numerator and denominator, then a note above or below · Enter – a new line · * – times · ^ – power, ↓ – end of the power