85 is what percent of 825 - 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 825 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 825, so we can write it down as 100%=825.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=825
2) x%=85
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%=825/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 825

100%/x%=825/85
(100/x)*x=(825/85)*x       - we multiply both sides of the equation by x
100=9.7058823529412*x       - we divide both sides of the equation by (9.7058823529412) to get x
100/9.7058823529412=x
10.30303030303=x
x=10.30303030303

now we have:
85 is 10.30303030303% of 825