208.4 is what percent of 235 - 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 235 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 235, so we can write it down as 100%=235.
4. We know, that x% equals 208.4 of the output value, so we can write it down as x%=208.4.
5. Now we have two simple equations:
1) 100%=235
2) x%=208.4
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%=235/208.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 208.4 is what percent of 235

100%/x%=235/208.4
(100/x)*x=(235/208.4)*x       - we multiply both sides of the equation by x
100=1.1276391554702*x       - we divide both sides of the equation by (1.1276391554702) to get x
100/1.1276391554702=x
88.68085106383=x
x=88.68085106383

now we have:
208.4 is 88.68085106383% of 235