160.64 is what percent of 1284.88 - 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 1284.88 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 1284.88, so we can write it down as 100%=1284.88.
4. We know, that x% equals 160.64 of the output value, so we can write it down as x%=160.64.
5. Now we have two simple equations:
1) 100%=1284.88
2) x%=160.64
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%=1284.88/160.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160.64 is what percent of 1284.88

100%/x%=1284.88/160.64
(100/x)*x=(1284.88/160.64)*x       - we multiply both sides of the equation by x
100=7.9985059760956*x       - we divide both sides of the equation by (7.9985059760956) to get x
100/7.9985059760956=x
12.502334848391=x
x=12.502334848391

now we have:
160.64 is 12.502334848391% of 1284.88