41.86 is what percent of 98.5 - 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 98.5 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 98.5, so we can write it down as 100%=98.5.
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%=98.5
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%=98.5/41.86
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 98.5

100%/x%=98.5/41.86
(100/x)*x=(98.5/41.86)*x       - we multiply both sides of the equation by x
100=2.3530817009078*x       - we divide both sides of the equation by (2.3530817009078) to get x
100/2.3530817009078=x
42.497461928934=x
x=42.497461928934

now we have:
41.86 is 42.497461928934% of 98.5