7758.95 is what percent of 40800 - 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 40800 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 40800, so we can write it down as 100%=40800.
4. We know, that x% equals 7758.95 of the output value, so we can write it down as x%=7758.95.
5. Now we have two simple equations:
1) 100%=40800
2) x%=7758.95
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%=40800/7758.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7758.95 is what percent of 40800

100%/x%=40800/7758.95
(100/x)*x=(40800/7758.95)*x       - we multiply both sides of the equation by x
100=5.2584434749547*x       - we divide both sides of the equation by (5.2584434749547) to get x
100/5.2584434749547=x
19.017034313725=x
x=19.017034313725

now we have:
7758.95 is 19.017034313725% of 40800