209.99 is what percent of 239.96 - 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 239.96 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 239.96, so we can write it down as 100%=239.96.
4. We know, that x% equals 209.99 of the output value, so we can write it down as x%=209.99.
5. Now we have two simple equations:
1) 100%=239.96
2) x%=209.99
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%=239.96/209.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.99 is what percent of 239.96

100%/x%=239.96/209.99
(100/x)*x=(239.96/209.99)*x       - we multiply both sides of the equation by x
100=1.1427210819563*x       - we divide both sides of the equation by (1.1427210819563) to get x
100/1.1427210819563=x
87.510418403067=x
x=87.510418403067

now we have:
209.99 is 87.510418403067% of 239.96