870.2 is what percent of 9500 - 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 9500 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 9500, so we can write it down as 100%=9500.
4. We know, that x% equals 870.2 of the output value, so we can write it down as x%=870.2.
5. Now we have two simple equations:
1) 100%=9500
2) x%=870.2
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%=9500/870.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 870.2 is what percent of 9500

100%/x%=9500/870.2
(100/x)*x=(9500/870.2)*x       - we multiply both sides of the equation by x
100=10.917030567686*x       - we divide both sides of the equation by (10.917030567686) to get x
100/10.917030567686=x
9.16=x
x=9.16

now we have:
870.2 is 9.16% of 9500