10.63 is what percent of 16.13 - 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 16.13 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 16.13, so we can write it down as 100%=16.13.
4. We know, that x% equals 10.63 of the output value, so we can write it down as x%=10.63.
5. Now we have two simple equations:
1) 100%=16.13
2) x%=10.63
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%=16.13/10.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.63 is what percent of 16.13

100%/x%=16.13/10.63
(100/x)*x=(16.13/10.63)*x       - we multiply both sides of the equation by x
100=1.5174035747883*x       - we divide both sides of the equation by (1.5174035747883) to get x
100/1.5174035747883=x
65.902045877247=x
x=65.902045877247

now we have:
10.63 is 65.902045877247% of 16.13