26.55 is what percent of 41.57 - 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 41.57 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 41.57, so we can write it down as 100%=41.57.
4. We know, that x% equals 26.55 of the output value, so we can write it down as x%=26.55.
5. Now we have two simple equations:
1) 100%=41.57
2) x%=26.55
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%=41.57/26.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.55 is what percent of 41.57

100%/x%=41.57/26.55
(100/x)*x=(41.57/26.55)*x       - we multiply both sides of the equation by x
100=1.565725047081*x       - we divide both sides of the equation by (1.565725047081) to get x
100/1.565725047081=x
63.868174164061=x
x=63.868174164061

now we have:
26.55 is 63.868174164061% of 41.57