10.51 is what percent of 10.92 - 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 10.92 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 10.92, so we can write it down as 100%=10.92.
4. We know, that x% equals 10.51 of the output value, so we can write it down as x%=10.51.
5. Now we have two simple equations:
1) 100%=10.92
2) x%=10.51
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%=10.92/10.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.51 is what percent of 10.92

100%/x%=10.92/10.51
(100/x)*x=(10.92/10.51)*x       - we multiply both sides of the equation by x
100=1.0390104662226*x       - we divide both sides of the equation by (1.0390104662226) to get x
100/1.0390104662226=x
96.245421245421=x
x=96.245421245421

now we have:
10.51 is 96.245421245421% of 10.92