78.65 is what percent of 9025 - 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 9025 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 9025, so we can write it down as 100%=9025.
4. We know, that x% equals 78.65 of the output value, so we can write it down as x%=78.65.
5. Now we have two simple equations:
1) 100%=9025
2) x%=78.65
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%=9025/78.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.65 is what percent of 9025

100%/x%=9025/78.65
(100/x)*x=(9025/78.65)*x       - we multiply both sides of the equation by x
100=114.74888747616*x       - we divide both sides of the equation by (114.74888747616) to get x
100/114.74888747616=x
0.87146814404432=x
x=0.87146814404432

now we have:
78.65 is 0.87146814404432% of 9025