181.64 is what percent of 960 - 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 960 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 960, so we can write it down as 100%=960.
4. We know, that x% equals 181.64 of the output value, so we can write it down as x%=181.64.
5. Now we have two simple equations:
1) 100%=960
2) x%=181.64
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%=960/181.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 181.64 is what percent of 960

100%/x%=960/181.64
(100/x)*x=(960/181.64)*x       - we multiply both sides of the equation by x
100=5.2851794758864*x       - we divide both sides of the equation by (5.2851794758864) to get x
100/5.2851794758864=x
18.920833333333=x
x=18.920833333333

now we have:
181.64 is 18.920833333333% of 960