38.4 is what percent of 99.95 - 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 99.95 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 99.95, so we can write it down as 100%=99.95.
4. We know, that x% equals 38.4 of the output value, so we can write it down as x%=38.4.
5. Now we have two simple equations:
1) 100%=99.95
2) x%=38.4
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%=99.95/38.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.4 is what percent of 99.95

100%/x%=99.95/38.4
(100/x)*x=(99.95/38.4)*x       - we multiply both sides of the equation by x
100=2.6028645833333*x       - we divide both sides of the equation by (2.6028645833333) to get x
100/2.6028645833333=x
38.419209604802=x
x=38.419209604802

now we have:
38.4 is 38.419209604802% of 99.95