917.92 is what percent of 972.5 - 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 972.5 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 972.5, so we can write it down as 100%=972.5.
4. We know, that x% equals 917.92 of the output value, so we can write it down as x%=917.92.
5. Now we have two simple equations:
1) 100%=972.5
2) x%=917.92
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%=972.5/917.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 917.92 is what percent of 972.5

100%/x%=972.5/917.92
(100/x)*x=(972.5/917.92)*x       - we multiply both sides of the equation by x
100=1.0594605194352*x       - we divide both sides of the equation by (1.0594605194352) to get x
100/1.0594605194352=x
94.38766066838=x
x=94.38766066838

now we have:
917.92 is 94.38766066838% of 972.5