7.82 is what percent of 125.9 - 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 125.9 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 125.9, so we can write it down as 100%=125.9.
4. We know, that x% equals 7.82 of the output value, so we can write it down as x%=7.82.
5. Now we have two simple equations:
1) 100%=125.9
2) x%=7.82
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%=125.9/7.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.82 is what percent of 125.9

100%/x%=125.9/7.82
(100/x)*x=(125.9/7.82)*x       - we multiply both sides of the equation by x
100=16.099744245524*x       - we divide both sides of the equation by (16.099744245524) to get x
100/16.099744245524=x
6.2112787926926=x
x=6.2112787926926

now we have:
7.82 is 6.2112787926926% of 125.9