38.4 is what percent of 39 - 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 39 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 39, so we can write it down as 100%=39.
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%=39
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%=39/38.4
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 39

100%/x%=39/38.4
(100/x)*x=(39/38.4)*x       - we multiply both sides of the equation by x
100=1.015625*x       - we divide both sides of the equation by (1.015625) to get x
100/1.015625=x
98.461538461538=x
x=98.461538461538

now we have:
38.4 is 98.461538461538% of 39