58.22 is what percent of 447.88 - 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 447.88 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 447.88, so we can write it down as 100%=447.88.
4. We know, that x% equals 58.22 of the output value, so we can write it down as x%=58.22.
5. Now we have two simple equations:
1) 100%=447.88
2) x%=58.22
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%=447.88/58.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.22 is what percent of 447.88

100%/x%=447.88/58.22
(100/x)*x=(447.88/58.22)*x       - we multiply both sides of the equation by x
100=7.6928890415665*x       - we divide both sides of the equation by (7.6928890415665) to get x
100/7.6928890415665=x
12.999017593998=x
x=12.999017593998

now we have:
58.22 is 12.999017593998% of 447.88