208.15 is what percent of 270 - 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 270 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 270, so we can write it down as 100%=270.
4. We know, that x% equals 208.15 of the output value, so we can write it down as x%=208.15.
5. Now we have two simple equations:
1) 100%=270
2) x%=208.15
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%=270/208.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.15 is what percent of 270

100%/x%=270/208.15
(100/x)*x=(270/208.15)*x       - we multiply both sides of the equation by x
100=1.2971414845064*x       - we divide both sides of the equation by (1.2971414845064) to get x
100/1.2971414845064=x
77.092592592593=x
x=77.092592592593

now we have:
208.15 is 77.092592592593% of 270