7.65 is what percent of 85.21 - 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 85.21 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 85.21, so we can write it down as 100%=85.21.
4. We know, that x% equals 7.65 of the output value, so we can write it down as x%=7.65.
5. Now we have two simple equations:
1) 100%=85.21
2) x%=7.65
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%=85.21/7.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.65 is what percent of 85.21

100%/x%=85.21/7.65
(100/x)*x=(85.21/7.65)*x       - we multiply both sides of the equation by x
100=11.138562091503*x       - we divide both sides of the equation by (11.138562091503) to get x
100/11.138562091503=x
8.977819504753=x
x=8.977819504753

now we have:
7.65 is 8.977819504753% of 85.21