5388.95 is what percent of 6730 - 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 6730 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 6730, so we can write it down as 100%=6730.
4. We know, that x% equals 5388.95 of the output value, so we can write it down as x%=5388.95.
5. Now we have two simple equations:
1) 100%=6730
2) x%=5388.95
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%=6730/5388.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5388.95 is what percent of 6730

100%/x%=6730/5388.95
(100/x)*x=(6730/5388.95)*x       - we multiply both sides of the equation by x
100=1.2488518171443*x       - we divide both sides of the equation by (1.2488518171443) to get x
100/1.2488518171443=x
80.073551263001=x
x=80.073551263001

now we have:
5388.95 is 80.073551263001% of 6730