680.84 is what percent of 5455 - 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 5455 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 5455, so we can write it down as 100%=5455.
4. We know, that x% equals 680.84 of the output value, so we can write it down as x%=680.84.
5. Now we have two simple equations:
1) 100%=5455
2) x%=680.84
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%=5455/680.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 680.84 is what percent of 5455

100%/x%=5455/680.84
(100/x)*x=(5455/680.84)*x       - we multiply both sides of the equation by x
100=8.0121614476235*x       - we divide both sides of the equation by (8.0121614476235) to get x
100/8.0121614476235=x
12.481026581118=x
x=12.481026581118

now we have:
680.84 is 12.481026581118% of 5455