6.84 is what percent of 411.52 - 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 411.52 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 411.52, so we can write it down as 100%=411.52.
4. We know, that x% equals 6.84 of the output value, so we can write it down as x%=6.84.
5. Now we have two simple equations:
1) 100%=411.52
2) x%=6.84
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%=411.52/6.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.84 is what percent of 411.52

100%/x%=411.52/6.84
(100/x)*x=(411.52/6.84)*x       - we multiply both sides of the equation by x
100=60.163742690058*x       - we divide both sides of the equation by (60.163742690058) to get x
100/60.163742690058=x
1.6621306376361=x
x=1.6621306376361

now we have:
6.84 is 1.6621306376361% of 411.52