63.31 is what percent of 563.99 - 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 563.99 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 563.99, so we can write it down as 100%=563.99.
4. We know, that x% equals 63.31 of the output value, so we can write it down as x%=63.31.
5. Now we have two simple equations:
1) 100%=563.99
2) x%=63.31
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%=563.99/63.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63.31 is what percent of 563.99

100%/x%=563.99/63.31
(100/x)*x=(563.99/63.31)*x       - we multiply both sides of the equation by x
100=8.9083873005844*x       - we divide both sides of the equation by (8.9083873005844) to get x
100/8.9083873005844=x
11.22537633646=x
x=11.22537633646

now we have:
63.31 is 11.22537633646% of 563.99