971.88 is what percent of 1008.13 - 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 1008.13 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 1008.13, so we can write it down as 100%=1008.13.
4. We know, that x% equals 971.88 of the output value, so we can write it down as x%=971.88.
5. Now we have two simple equations:
1) 100%=1008.13
2) x%=971.88
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%=1008.13/971.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 971.88 is what percent of 1008.13

100%/x%=1008.13/971.88
(100/x)*x=(1008.13/971.88)*x       - we multiply both sides of the equation by x
100=1.0372988434786*x       - we divide both sides of the equation by (1.0372988434786) to get x
100/1.0372988434786=x
96.404233580987=x
x=96.404233580987

now we have:
971.88 is 96.404233580987% of 1008.13