160.84 is what percent of 2496 - 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 2496 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 2496, so we can write it down as 100%=2496.
4. We know, that x% equals 160.84 of the output value, so we can write it down as x%=160.84.
5. Now we have two simple equations:
1) 100%=2496
2) x%=160.84
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%=2496/160.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.84 is what percent of 2496

100%/x%=2496/160.84
(100/x)*x=(2496/160.84)*x       - we multiply both sides of the equation by x
100=15.518527729421*x       - we divide both sides of the equation by (15.518527729421) to get x
100/15.518527729421=x
6.4439102564103=x
x=6.4439102564103

now we have:
160.84 is 6.4439102564103% of 2496