If you’re trying to find the whole, how would you set up the percent proportion?

EXAMPLE #1:

What number is 75% of 4?   (or   Find 75% of 4.)

The PERCENT always goes over 100.

   (It's a part of the whole 100%.)

4 appears with the word of:

   It's the WHOLE and goes on the bottom.

A proportion showing one fraction  with PART as the numerator and 4 as the denominator equal to another fraction with 75 as the numerator and 100 as the denominator.

We're trying to find the missing PART (on the top).

In a proportion the cross-products are equal:   So 4 times 75 is equal to 100 times the PART.

The missing PART equals 4 times 75 divided by 100.

(Multiply the two opposite corners with numbers; then divide by the other number.)

4 times 75=100 times the part

300=100 times the part

300/100=100/100 times the part

3=   the part

A proportion showing the denominator,  4, times the diagonally opposite 75; divided by  100.

EXAMPLE #2:

3 is what percent of 4?

3 appears with the word is:     It's the PART and goes on top.

4 appears with the word of:

   It's the WHOLE and goes on the bottom.A proportion showing one fraction  with 3 as the numerator and 4 as the denominator equal to another fraction with percent as the numerator and 100 as the denominator.

We're trying to find the missing PERCENT (out of the whole 100%).

In a proportion the cross-products are equal:   So 3 times 100 is equal to 4 times the PERCENT.

The missing PERCENT equals 100 times 3 divided by 4.

(Multiply the two opposite corners with numbers; then divide by the other number.)

3 times 100=4 times the percent

300=4 times the percent

300/4=4/4 times the percent

75=   the percent

A proportion showing the numerator,  3, times the diagonally opposite 100; divided by  4.

I have gotten this information from: Amby.com

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step-by-step explanation: