Percentages.

1.07 Percentages.

Percentages are basically just fractions (1/100) of some total amount. ie 1 % of an amount is 1/100 of the total and 60 % is 60/100 of the total

Finding percentages of a given value

If you are given an amount and asked to calculate percentages of this amount it is quite a simple process.
e.g. to find 15%, 60% and 150% of 250

  • 15 % of 250 = (250/100) x 15 = 37.5
  • 60 % of 250 = (250/100) x 60 = 150
  • 150 % of 250 = (250/100) x 150 = 375

As illustrated above to find a percentage of any given amount we first divide that amount by 100 then multiply by the percentage we want to find

Expressing one number as a percentage of another number

  • example 1: What percentage of 175 is 35?
  • (35/175) x 100) = 20%
  • example 2: What percentage of 40 is 160?
  • 160/40 x 100 = 400%
  • example 3: What percentage of 300 is 75?
  • 75/300 x 100 = 25%

As illustrated above, to express one number “b” as a percentage of another “a” we simply divide b by a then multiply by 100.