160.88 is what percent of 2460.83 - 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 2460.83 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 2460.83, so we can write it down as 100%=2460.83.
4. We know, that x% equals 160.88 of the output value, so we can write it down as x%=160.88.
5. Now we have two simple equations:
1) 100%=2460.83
2) x%=160.88
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%=2460.83/160.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.88 is what percent of 2460.83

100%/x%=2460.83/160.88
(100/x)*x=(2460.83/160.88)*x       - we multiply both sides of the equation by x
100=15.29605917454*x       - we divide both sides of the equation by (15.29605917454) to get x
100/15.29605917454=x
6.5376316120984=x
x=6.5376316120984

now we have:
160.88 is 6.5376316120984% of 2460.83