41.3 is what percent of 84.6 - 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 84.6 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 84.6, so we can write it down as 100%=84.6.
4. We know, that x% equals 41.3 of the output value, so we can write it down as x%=41.3.
5. Now we have two simple equations:
1) 100%=84.6
2) x%=41.3
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%=84.6/41.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.3 is what percent of 84.6

100%/x%=84.6/41.3
(100/x)*x=(84.6/41.3)*x       - we multiply both sides of the equation by x
100=2.0484261501211*x       - we divide both sides of the equation by (2.0484261501211) to get x
100/2.0484261501211=x
48.817966903073=x
x=48.817966903073

now we have:
41.3 is 48.817966903073% of 84.6