5942.48 is what percent of 7504.48 - 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 7504.48 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 7504.48, so we can write it down as 100%=7504.48.
4. We know, that x% equals 5942.48 of the output value, so we can write it down as x%=5942.48.
5. Now we have two simple equations:
1) 100%=7504.48
2) x%=5942.48
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%=7504.48/5942.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5942.48 is what percent of 7504.48

100%/x%=7504.48/5942.48
(100/x)*x=(7504.48/5942.48)*x       - we multiply both sides of the equation by x
100=1.2628532195312*x       - we divide both sides of the equation by (1.2628532195312) to get x
100/1.2628532195312=x
79.185766368889=x
x=79.185766368889

now we have:
5942.48 is 79.185766368889% of 7504.48