3697.72 is what percent of 4884.78 - 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 4884.78 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 4884.78, so we can write it down as 100%=4884.78.
4. We know, that x% equals 3697.72 of the output value, so we can write it down as x%=3697.72.
5. Now we have two simple equations:
1) 100%=4884.78
2) x%=3697.72
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%=4884.78/3697.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3697.72 is what percent of 4884.78

100%/x%=4884.78/3697.72
(100/x)*x=(4884.78/3697.72)*x       - we multiply both sides of the equation by x
100=1.321024847744*x       - we divide both sides of the equation by (1.321024847744) to get x
100/1.321024847744=x
75.698803221435=x
x=75.698803221435

now we have:
3697.72 is 75.698803221435% of 4884.78