479.91 is what percent of 10318.32 - step by step solution

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

1. We assume, that the number 10318.32 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 100% equals 10318.32, so we can write it down as 100%=10318.32.
4. We know, that x% equals 479.91 of the output value, so we can write it down as x%=479.91.
5. Now we have two simple equations:
1) 100%=10318.32
2) x%=479.91
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:
100%/x%=10318.32/479.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 479.91 is what percent of 10318.32

100%/x%=10318.32/479.91
(100/x)*x=(10318.32/479.91)*x       - we multiply both sides of the equation by x
100=21.500531349628*x       - we divide both sides of the equation by (21.500531349628) to get x
100/21.500531349628=x
4.651047844998=x
x=4.651047844998

now we have:
479.91 is 4.651047844998% of 10318.32