15.82 is what percent of 7925 - 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 7925 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 7925, so we can write it down as 100%=7925.
4. We know, that x% equals 15.82 of the output value, so we can write it down as x%=15.82.
5. Now we have two simple equations:
1) 100%=7925
2) x%=15.82
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%=7925/15.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.82 is what percent of 7925

100%/x%=7925/15.82
(100/x)*x=(7925/15.82)*x       - we multiply both sides of the equation by x
100=500.94816687737*x       - we divide both sides of the equation by (500.94816687737) to get x
100/500.94816687737=x
0.1996214511041=x
x=0.1996214511041

now we have:
15.82 is 0.1996214511041% of 7925