99.98 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 99.98 of the output value, so we can write it down as x%=99.98.
5. Now we have two simple equations:
1) 100%=100
2) x%=99.98
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%=100/99.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.98 is what percent of 100

100%/x%=100/99.98
(100/x)*x=(100/99.98)*x       - we multiply both sides of the equation by x
100=1.000200040008*x       - we divide both sides of the equation by (1.000200040008) to get x
100/1.000200040008=x
99.98=x
x=99.98

now we have:
99.98 is 99.98% of 100