41.8 is what percent of 89.87 - 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 89.87 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 89.87, so we can write it down as 100%=89.87.
4. We know, that x% equals 41.8 of the output value, so we can write it down as x%=41.8.
5. Now we have two simple equations:
1) 100%=89.87
2) x%=41.8
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%=89.87/41.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.8 is what percent of 89.87

100%/x%=89.87/41.8
(100/x)*x=(89.87/41.8)*x       - we multiply both sides of the equation by x
100=2.15*x       - we divide both sides of the equation by (2.15) to get x
100/2.15=x
46.511627906977=x
x=46.511627906977

now we have:
41.8 is 46.511627906977% of 89.87