2738.32 is what percent of 4747.82 - 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 4747.82 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 4747.82, so we can write it down as 100%=4747.82.
4. We know, that x% equals 2738.32 of the output value, so we can write it down as x%=2738.32.
5. Now we have two simple equations:
1) 100%=4747.82
2) x%=2738.32
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%=4747.82/2738.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2738.32 is what percent of 4747.82

100%/x%=4747.82/2738.32
(100/x)*x=(4747.82/2738.32)*x       - we multiply both sides of the equation by x
100=1.7338441087966*x       - we divide both sides of the equation by (1.7338441087966) to get x
100/1.7338441087966=x
57.675312037946=x
x=57.675312037946

now we have:
2738.32 is 57.675312037946% of 4747.82