41.66 is what percent of 556 - 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 556 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 556, so we can write it down as 100%=556.
4. We know, that x% equals 41.66 of the output value, so we can write it down as x%=41.66.
5. Now we have two simple equations:
1) 100%=556
2) x%=41.66
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%=556/41.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.66 is what percent of 556

100%/x%=556/41.66
(100/x)*x=(556/41.66)*x       - we multiply both sides of the equation by x
100=13.346135381661*x       - we divide both sides of the equation by (13.346135381661) to get x
100/13.346135381661=x
7.4928057553957=x
x=7.4928057553957

now we have:
41.66 is 7.4928057553957% of 556