Percent Type 3

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Type #3

This is the “$700.00 is 20% of what number” type of question. This is a more uncommon percent question and not one that is used a lot.

I have: 1 number

I have: A percent value

I need to find: “A 2^nd number, which the 1st number is a given percent of.”

Example: a) $700.00 is 20% of what number?

Key to Solving:

Make a 4 element relation box. Percentages stick together, so always divide the percent value by 100. For the question above:

Step 1 – change the 20% to 20

100

Step 2 – We know that the $700.00 and the 20 are related, so they go across from each other. The “x” is the value we are looking for.

20 =  $700.00

100  X

Step 3 – Multiply UP and ACROSS from the bottom left number, then divide by the top left number.

100 X $700.00 ÷ 20 = $3500.00

$700.00 is 20% of $3500.00

Tricks to look out for.

$700.00 is 20% of what number?

a) Read the question carefully. Do not work out 20% of $700.00.

 Wrong! 20 ÷ 100 x $700.00 = $140.00 $700.00 is 20% of $140.00

 Right! 20 =  $700.00

100  X

100 X $700.00 ÷ 20 = $3500.00

$700.00 is 20% of $3500.00