Percentages: Is / Of = % / 100

Sometimes you are given a number and asked what 30% of that number is. Other times you are given a number and asked what percentage it is of another number. The key thing to always remember is:

  • is / of = % / 100

As you can see, there are three variables and then a constant of 100. Anytime you are given a problem you will be given 2 of the variables and you must find the missing variable. Simply plug in the numbers into the equation.

Example: What is 40% of 60?

  • First, identify the variables.
  • It says 40% so we know our percent.
  • It says "of 60" so we know our "of"
  • Now we plug in our known variables to solve for "is"

We now have ( is / 60 ) = ( 40 / 100 ). With this equation we first multiply 40*60 = 2400 and divide by 100 = 24.

Answer: 24 is 40% of 60.

Watch the math video below for a detailed explanation!

Practice Math Problems

  1. What is 30% of 50 ?
  2. What % is 12 of 48 ?
  3. 26 is 65% of what number ?
  4. What is 35% of 20 ?
  5. What % of 20 is 4 ?
  6. 40 is what % of 800?
  7. 30 is 30% of what number?
  8. 300 % of what number is 30 ?