8.15 is what percent of 9.275 - 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 9.275 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 9.275, so we can write it down as 100%=9.275.
4. We know, that x% equals 8.15 of the output value, so we can write it down as x%=8.15.
5. Now we have two simple equations:
1) 100%=9.275
2) x%=8.15
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%=9.275/8.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.15 is what percent of 9.275

100%/x%=9.275/8.15
(100/x)*x=(9.275/8.15)*x       - we multiply both sides of the equation by x
100=1.138036809816*x       - we divide both sides of the equation by (1.138036809816) to get x
100/1.138036809816=x
87.870619946092=x
x=87.870619946092

now we have:
8.15 is 87.870619946092% of 9.275