39.99 is what percent of 98.98 - 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 98.98 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 98.98, so we can write it down as 100%=98.98.
4. We know, that x% equals 39.99 of the output value, so we can write it down as x%=39.99.
5. Now we have two simple equations:
1) 100%=98.98
2) x%=39.99
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%=98.98/39.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.99 is what percent of 98.98

100%/x%=98.98/39.99
(100/x)*x=(98.98/39.99)*x       - we multiply both sides of the equation by x
100=2.4751187796949*x       - we divide both sides of the equation by (2.4751187796949) to get x
100/2.4751187796949=x
40.402101434633=x
x=40.402101434633

now we have:
39.99 is 40.402101434633% of 98.98