85 is what percent of 416 - 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 416 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 416, so we can write it down as 100%=416.
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%=416
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%=416/85
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 416

100%/x%=416/85
(100/x)*x=(416/85)*x       - we multiply both sides of the equation by x
100=4.8941176470588*x       - we divide both sides of the equation by (4.8941176470588) to get x
100/4.8941176470588=x
20.432692307692=x
x=20.432692307692

now we have:
85 is 20.432692307692% of 416