10.13 is what percent of 63.3 - 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 63.3 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 63.3, so we can write it down as 100%=63.3.
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%=63.3
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%=63.3/10.13
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 63.3

100%/x%=63.3/10.13
(100/x)*x=(63.3/10.13)*x       - we multiply both sides of the equation by x
100=6.248766041461*x       - we divide both sides of the equation by (6.248766041461) to get x
100/6.248766041461=x
16.003159557662=x
x=16.003159557662

now we have:
10.13 is 16.003159557662% of 63.3