41 is what percent of 526.57 - 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 526.57 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 526.57, so we can write it down as 100%=526.57.
4. We know, that x% equals 41 of the output value, so we can write it down as x%=41.
5. Now we have two simple equations:
1) 100%=526.57
2) x%=41
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%=526.57/41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41 is what percent of 526.57

100%/x%=526.57/41
(100/x)*x=(526.57/41)*x       - we multiply both sides of the equation by x
100=12.843170731707*x       - we divide both sides of the equation by (12.843170731707) to get x
100/12.843170731707=x
7.786239246444=x
x=7.786239246444

now we have:
41 is 7.786239246444% of 526.57