41.58 is what percent of 24.76 - 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 24.76 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 24.76, so we can write it down as 100%=24.76.
4. We know, that x% equals 41.58 of the output value, so we can write it down as x%=41.58.
5. Now we have two simple equations:
1) 100%=24.76
2) x%=41.58
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%=24.76/41.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.58 is what percent of 24.76

100%/x%=24.76/41.58
(100/x)*x=(24.76/41.58)*x       - we multiply both sides of the equation by x
100=0.5954785954786*x       - we divide both sides of the equation by (0.5954785954786) to get x
100/0.5954785954786=x
167.93214862682=x
x=167.93214862682

now we have:
41.58 is 167.93214862682% of 24.76