170.8 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 170.8 of the output value, so we can write it down as x%=170.8.
5. Now we have two simple equations:
1) 100%=220
2) x%=170.8
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%=220/170.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.8 is what percent of 220

100%/x%=220/170.8
(100/x)*x=(220/170.8)*x       - we multiply both sides of the equation by x
100=1.288056206089*x       - we divide both sides of the equation by (1.288056206089) to get x
100/1.288056206089=x
77.636363636364=x
x=77.636363636364

now we have:
170.8 is 77.636363636364% of 220