9502 is what percent of 9595 - 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 9595 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 9595, so we can write it down as 100%=9595.
4. We know, that x% equals 9502 of the output value, so we can write it down as x%=9502.
5. Now we have two simple equations:
1) 100%=9595
2) x%=9502
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%=9595/9502
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9502 is what percent of 9595

100%/x%=9595/9502
(100/x)*x=(9595/9502)*x       - we multiply both sides of the equation by x
100=1.0097874131762*x       - we divide both sides of the equation by (1.0097874131762) to get x
100/1.0097874131762=x
99.030745179781=x
x=99.030745179781

now we have:
9502 is 99.030745179781% of 9595