34.85 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
4. We know, that x% equals 34.85 of the output value, so we can write it down as x%=34.85.
5. Now we have two simple equations:
1) 100%=220
2) x%=34.85
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%=220/34.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.85 is what percent of 220

100%/x%=220/34.85
(100/x)*x=(220/34.85)*x       - we multiply both sides of the equation by x
100=6.312769010043*x       - we divide both sides of the equation by (6.312769010043) to get x
100/6.312769010043=x
15.840909090909=x
x=15.840909090909

now we have:
34.85 is 15.840909090909% of 220