Mykola V. | Math Tutor - Patient and ExperiencedMath Tutor - Patient and Experienced

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For this question all we simply do is divide 72 by 480. This will give us the decimal .15. The decimal can be converted from here to percent by being multiplied by 100. .15*100=15%.

So 72 is 15% of 480.

Another way this can be solved is to divide 480 by 100%. This will show us what 1% of 480 is. All we do then, is divide the number who's percent we're trying to find, in this case 72, and we get our answer in percent.

480u/100%=4.8u/% (The u is a unit place holder just so you can see more accurately how this is done. The 4.8u/% can be read as 4.8 unites per percent)

When you can't remember even a basic equation like the one listed below, make up your own much simpler problem and see if you can deduce the underlying relationship between the simpler numbers in order to apply your understanding to the actual problem.

For example, "2 is what percent of 4?" Well, 2 is half of 4 (2 out of 4 is equivalent to 1 out of 2), so 2 is 50% of 4. If you "see" that 2/4 = 1/2 = 0.50 = 50% then you understand the underlying relationship between the 2 and 4 in this particular problem and can now extrapolate to the actual problem.

Now, how must the 72 be related to the 480 in the original problem? As a fraction(72/480). Divide and conquer!

David M. | Friendly, engaging and patient tutor available to help.Friendly, engaging and patient tutor ava...

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Many percentage problems like this one can be worked if you remember a basic equation:

[Whole Value] x [percentage in decimal form] = [Partial value]

In this case, we know the "Whole value" (480) and the "Partial Value" (72). This gives us an equation with only one unknown, the percentage. If I were to plug in the values we know and replace [percentage in decimal form] with "x", the equation would look like this:

(480)(x)=(72)

Now we can solve this using basic algebra. Since x is being multiplied by 480, we need to divide both sides by 480.