208.7 is what percent of 290 - 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 290 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 290, so we can write it down as 100%=290.
4. We know, that x% equals 208.7 of the output value, so we can write it down as x%=208.7.
5. Now we have two simple equations:
1) 100%=290
2) x%=208.7
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%=290/208.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.7 is what percent of 290

100%/x%=290/208.7
(100/x)*x=(290/208.7)*x       - we multiply both sides of the equation by x
100=1.3895543842837*x       - we divide both sides of the equation by (1.3895543842837) to get x
100/1.3895543842837=x
71.965517241379=x
x=71.965517241379

now we have:
208.7 is 71.965517241379% of 290