40 is what percent of 100.2 - 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 100.2 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 100.2, so we can write it down as 100%=100.2.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=100.2
2) x%=40
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%=100.2/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 100.2

100%/x%=100.2/40
(100/x)*x=(100.2/40)*x       - we multiply both sides of the equation by x
100=2.505*x       - we divide both sides of the equation by (2.505) to get x
100/2.505=x
39.920159680639=x
x=39.920159680639

now we have:
40 is 39.920159680639% of 100.2