63.01 is what percent of 458.22 - 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 458.22 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 458.22, so we can write it down as 100%=458.22.
4. We know, that x% equals 63.01 of the output value, so we can write it down as x%=63.01.
5. Now we have two simple equations:
1) 100%=458.22
2) x%=63.01
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%=458.22/63.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.01 is what percent of 458.22

100%/x%=458.22/63.01
(100/x)*x=(458.22/63.01)*x       - we multiply both sides of the equation by x
100=7.2721790192033*x       - we divide both sides of the equation by (7.2721790192033) to get x
100/7.2721790192033=x
13.751036619964=x
x=13.751036619964

now we have:
63.01 is 13.751036619964% of 458.22