39.95 is what percent of 9.95 - 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 9.95 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 9.95, so we can write it down as 100%=9.95.
4. We know, that x% equals 39.95 of the output value, so we can write it down as x%=39.95.
5. Now we have two simple equations:
1) 100%=9.95
2) x%=39.95
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%=9.95/39.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.95 is what percent of 9.95

100%/x%=9.95/39.95
(100/x)*x=(9.95/39.95)*x       - we multiply both sides of the equation by x
100=0.24906132665832*x       - we divide both sides of the equation by (0.24906132665832) to get x
100/0.24906132665832=x
401.50753768844=x
x=401.50753768844

now we have:
39.95 is 401.50753768844% of 9.95