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

7. Solution for 100.2 is what percent of 100

100%/x%=100/100.2
(100/x)*x=(100/100.2)*x       - we multiply both sides of the equation by x
100=0.99800399201597*x       - we divide both sides of the equation by (0.99800399201597) to get x
100/0.99800399201597=x
100.2=x
x=100.2

now we have:
100.2 is 100.2% of 100