960.54 is what percent of 1097.75 - 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 1097.75 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 1097.75, so we can write it down as 100%=1097.75.
4. We know, that x% equals 960.54 of the output value, so we can write it down as x%=960.54.
5. Now we have two simple equations:
1) 100%=1097.75
2) x%=960.54
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%=1097.75/960.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 960.54 is what percent of 1097.75

100%/x%=1097.75/960.54
(100/x)*x=(1097.75/960.54)*x       - we multiply both sides of the equation by x
100=1.1428467320466*x       - we divide both sides of the equation by (1.1428467320466) to get x
100/1.1428467320466=x
87.500797084946=x
x=87.500797084946

now we have:
960.54 is 87.500797084946% of 1097.75