41.86 is what percent of 1398.61 - 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 1398.61 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 1398.61, so we can write it down as 100%=1398.61.
4. We know, that x% equals 41.86 of the output value, so we can write it down as x%=41.86.
5. Now we have two simple equations:
1) 100%=1398.61
2) x%=41.86
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%=1398.61/41.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.86 is what percent of 1398.61

100%/x%=1398.61/41.86
(100/x)*x=(1398.61/41.86)*x       - we multiply both sides of the equation by x
100=33.411610129001*x       - we divide both sides of the equation by (33.411610129001) to get x
100/33.411610129001=x
2.9929715932247=x
x=2.9929715932247

now we have:
41.86 is 2.9929715932247% of 1398.61