39.99 is what percent of 999.99 - 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 999.99 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 999.99, so we can write it down as 100%=999.99.
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%=999.99
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%=999.99/39.99
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 999.99

100%/x%=999.99/39.99
(100/x)*x=(999.99/39.99)*x       - we multiply both sides of the equation by x
100=25.006001500375*x       - we divide both sides of the equation by (25.006001500375) to get x
100/25.006001500375=x
3.9990399903999=x
x=3.9990399903999

now we have:
39.99 is 3.9990399903999% of 999.99