12.63 is what percent of 8.315 - 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 8.315 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 8.315, so we can write it down as 100%=8.315.
4. We know, that x% equals 12.63 of the output value, so we can write it down as x%=12.63.
5. Now we have two simple equations:
1) 100%=8.315
2) x%=12.63
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%=8.315/12.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.63 is what percent of 8.315

100%/x%=8.315/12.63
(100/x)*x=(8.315/12.63)*x       - we multiply both sides of the equation by x
100=0.658353127474*x       - we divide both sides of the equation by (0.658353127474) to get x
100/0.658353127474=x
151.894167168=x
x=151.894167168

now we have:
12.63 is 151.894167168% of 8.315