10.13 is what percent of 102.91 - 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 102.91 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 102.91, so we can write it down as 100%=102.91.
4. We know, that x% equals 10.13 of the output value, so we can write it down as x%=10.13.
5. Now we have two simple equations:
1) 100%=102.91
2) x%=10.13
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%=102.91/10.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.13 is what percent of 102.91

100%/x%=102.91/10.13
(100/x)*x=(102.91/10.13)*x       - we multiply both sides of the equation by x
100=10.158933859822*x       - we divide both sides of the equation by (10.158933859822) to get x
100/10.158933859822=x
9.8435526187931=x
x=9.8435526187931

now we have:
10.13 is 9.8435526187931% of 102.91