41.87 is what percent of 565.78 - 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 565.78 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 565.78, so we can write it down as 100%=565.78.
4. We know, that x% equals 41.87 of the output value, so we can write it down as x%=41.87.
5. Now we have two simple equations:
1) 100%=565.78
2) x%=41.87
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%=565.78/41.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.87 is what percent of 565.78

100%/x%=565.78/41.87
(100/x)*x=(565.78/41.87)*x       - we multiply both sides of the equation by x
100=13.512777645092*x       - we divide both sides of the equation by (13.512777645092) to get x
100/13.512777645092=x
7.4004029834918=x
x=7.4004029834918

now we have:
41.87 is 7.4004029834918% of 565.78