64.38 is what percent of 563.46 - 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 563.46 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 563.46, so we can write it down as 100%=563.46.
4. We know, that x% equals 64.38 of the output value, so we can write it down as x%=64.38.
5. Now we have two simple equations:
1) 100%=563.46
2) x%=64.38
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%=563.46/64.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.38 is what percent of 563.46

100%/x%=563.46/64.38
(100/x)*x=(563.46/64.38)*x       - we multiply both sides of the equation by x
100=8.7520969245107*x       - we divide both sides of the equation by (8.7520969245107) to get x
100/8.7520969245107=x
11.425833244596=x
x=11.425833244596

now we have:
64.38 is 11.425833244596% of 563.46