41.44 is what percent of 290.06 - 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 290.06 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 290.06, so we can write it down as 100%=290.06.
4. We know, that x% equals 41.44 of the output value, so we can write it down as x%=41.44.
5. Now we have two simple equations:
1) 100%=290.06
2) x%=41.44
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%=290.06/41.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.44 is what percent of 290.06

100%/x%=290.06/41.44
(100/x)*x=(290.06/41.44)*x       - we multiply both sides of the equation by x
100=6.9995173745174*x       - we divide both sides of the equation by (6.9995173745174) to get x
100/6.9995173745174=x
14.286699303592=x
x=14.286699303592

now we have:
41.44 is 14.286699303592% of 290.06