# Twelve percent of what number is 480?

1
by jacobcole605

2015-05-10T16:29:06+08:00

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 480 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 480 is 100%, so we can write it down as 480=100%.
4. We know, that x is 12% of the output value, so we can write it down as x=12%.
5. Now we have two simple equations:
1) 480=100%
2) x=12%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
480/x=100%/12%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 12% of 480

480/x=100/12
(480/x)*x=(100/12)*x       - we multiply both sides of the equation by x
480=8.33333333333*x       - we divide both sides of the equation by (8.33333333333) to get x
480/8.33333333333=x
57.6=x
x=57.6

now we have:
12% of 480=57.6