41.8 is what percent of 7.13 - 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 7.13 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 7.13, so we can write it down as 100%=7.13.
4. We know, that x% equals 41.8 of the output value, so we can write it down as x%=41.8.
5. Now we have two simple equations:
1) 100%=7.13
2) x%=41.8
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%=7.13/41.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.8 is what percent of 7.13

100%/x%=7.13/41.8
(100/x)*x=(7.13/41.8)*x       - we multiply both sides of the equation by x
100=0.17057416267943*x       - we divide both sides of the equation by (0.17057416267943) to get x
100/0.17057416267943=x
586.25525946704=x
x=586.25525946704

now we have:
41.8 is 586.25525946704% of 7.13