40.1 is what percent of 99.5 - 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 99.5 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 99.5, so we can write it down as 100%=99.5.
4. We know, that x% equals 40.1 of the output value, so we can write it down as x%=40.1.
5. Now we have two simple equations:
1) 100%=99.5
2) x%=40.1
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%=99.5/40.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.1 is what percent of 99.5

100%/x%=99.5/40.1
(100/x)*x=(99.5/40.1)*x       - we multiply both sides of the equation by x
100=2.4812967581047*x       - we divide both sides of the equation by (2.4812967581047) to get x
100/2.4812967581047=x
40.301507537688=x
x=40.301507537688

now we have:
40.1 is 40.301507537688% of 99.5