15.65 is what percent of 200.75 - 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 200.75 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 200.75, so we can write it down as 100%=200.75.
4. We know, that x% equals 15.65 of the output value, so we can write it down as x%=15.65.
5. Now we have two simple equations:
1) 100%=200.75
2) x%=15.65
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%=200.75/15.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.65 is what percent of 200.75

100%/x%=200.75/15.65
(100/x)*x=(200.75/15.65)*x       - we multiply both sides of the equation by x
100=12.827476038339*x       - we divide both sides of the equation by (12.827476038339) to get x
100/12.827476038339=x
7.7957658779577=x
x=7.7957658779577

now we have:
15.65 is 7.7957658779577% of 200.75