165.23 is what percent of 1461.41 - 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 1461.41 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 1461.41, so we can write it down as 100%=1461.41.
4. We know, that x% equals 165.23 of the output value, so we can write it down as x%=165.23.
5. Now we have two simple equations:
1) 100%=1461.41
2) x%=165.23
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%=1461.41/165.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.23 is what percent of 1461.41

100%/x%=1461.41/165.23
(100/x)*x=(1461.41/165.23)*x       - we multiply both sides of the equation by x
100=8.8447013254252*x       - we divide both sides of the equation by (8.8447013254252) to get x
100/8.8447013254252=x
11.306204282166=x
x=11.306204282166

now we have:
165.23 is 11.306204282166% of 1461.41