3038.38 is what percent of 4920 - 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 4920 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 4920, so we can write it down as 100%=4920.
4. We know, that x% equals 3038.38 of the output value, so we can write it down as x%=3038.38.
5. Now we have two simple equations:
1) 100%=4920
2) x%=3038.38
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%=4920/3038.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3038.38 is what percent of 4920

100%/x%=4920/3038.38
(100/x)*x=(4920/3038.38)*x       - we multiply both sides of the equation by x
100=1.6192839605316*x       - we divide both sides of the equation by (1.6192839605316) to get x
100/1.6192839605316=x
61.755691056911=x
x=61.755691056911

now we have:
3038.38 is 61.755691056911% of 4920