41.57 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 41.57 of the output value, so we can write it down as x%=41.57.
5. Now we have two simple equations:
1) 100%=55
2) x%=41.57
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%=55/41.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.57 is what percent of 55

100%/x%=55/41.57
(100/x)*x=(55/41.57)*x       - we multiply both sides of the equation by x
100=1.3230695212894*x       - we divide both sides of the equation by (1.3230695212894) to get x
100/1.3230695212894=x
75.581818181818=x
x=75.581818181818

now we have:
41.57 is 75.581818181818% of 55