41.74 is what percent of 165.58 - 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 165.58 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 165.58, so we can write it down as 100%=165.58.
4. We know, that x% equals 41.74 of the output value, so we can write it down as x%=41.74.
5. Now we have two simple equations:
1) 100%=165.58
2) x%=41.74
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%=165.58/41.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.74 is what percent of 165.58

100%/x%=165.58/41.74
(100/x)*x=(165.58/41.74)*x       - we multiply both sides of the equation by x
100=3.9669381887877*x       - we divide both sides of the equation by (3.9669381887877) to get x
100/3.9669381887877=x
25.208358497403=x
x=25.208358497403

now we have:
41.74 is 25.208358497403% of 165.58