What is 63.32 percent of 8.625 - 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 8.625 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 8.625 is 100%, so we can write it down as 8.625=100%.
4. We know, that x is 63.32% of the output value, so we can write it down as x=63.32%.
5. Now we have two simple equations:
1) 8.625=100%
2) x=63.32%
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:
8.625/x=100%/63.32%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 63.32% of 8.625

8.625/x=100/63.32
(8.625/x)*x=(100/63.32)*x       - we multiply both sides of the equation by x
8.625=1.5792798483891*x       - we divide both sides of the equation by (1.5792798483891) to get x
8.625/1.5792798483891=x
5.46135=x
x=5.46135

now we have:
63.32% of 8.625=5.46135