85 is what percent of 940 - 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 940 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 940, so we can write it down as 100%=940.
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%=940
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%=940/85
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 940

100%/x%=940/85
(100/x)*x=(940/85)*x       - we multiply both sides of the equation by x
100=11.058823529412*x       - we divide both sides of the equation by (11.058823529412) to get x
100/11.058823529412=x
9.0425531914894=x
x=9.0425531914894

now we have:
85 is 9.0425531914894% of 940