956.52 is what percent of 8695.65 - 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 8695.65 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 8695.65, so we can write it down as 100%=8695.65.
4. We know, that x% equals 956.52 of the output value, so we can write it down as x%=956.52.
5. Now we have two simple equations:
1) 100%=8695.65
2) x%=956.52
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%=8695.65/956.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 956.52 is what percent of 8695.65

100%/x%=8695.65/956.52
(100/x)*x=(8695.65/956.52)*x       - we multiply both sides of the equation by x
100=9.0909233471334*x       - we divide both sides of the equation by (9.0909233471334) to get x
100/9.0909233471334=x
10.999982749996=x
x=10.999982749996

now we have:
956.52 is 10.999982749996% of 8695.65