7387.96 is what percent of 7552.25 - 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 7552.25 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 7552.25, so we can write it down as 100%=7552.25.
4. We know, that x% equals 7387.96 of the output value, so we can write it down as x%=7387.96.
5. Now we have two simple equations:
1) 100%=7552.25
2) x%=7387.96
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%=7552.25/7387.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7387.96 is what percent of 7552.25

100%/x%=7552.25/7387.96
(100/x)*x=(7552.25/7387.96)*x       - we multiply both sides of the equation by x
100=1.0222375324176*x       - we divide both sides of the equation by (1.0222375324176) to get x
100/1.0222375324176=x
97.82462180145=x
x=97.82462180145

now we have:
7387.96 is 97.82462180145% of 7552.25