15.64 is what percent of 782.15 - 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 782.15 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 782.15, so we can write it down as 100%=782.15.
4. We know, that x% equals 15.64 of the output value, so we can write it down as x%=15.64.
5. Now we have two simple equations:
1) 100%=782.15
2) x%=15.64
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%=782.15/15.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.64 is what percent of 782.15

100%/x%=782.15/15.64
(100/x)*x=(782.15/15.64)*x       - we multiply both sides of the equation by x
100=50.009590792839*x       - we divide both sides of the equation by (50.009590792839) to get x
100/50.009590792839=x
1.999616441859=x
x=1.999616441859

now we have:
15.64 is 1.999616441859% of 782.15