129.22 is what percent of 1667.37 - 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 1667.37 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 1667.37, so we can write it down as 100%=1667.37.
4. We know, that x% equals 129.22 of the output value, so we can write it down as x%=129.22.
5. Now we have two simple equations:
1) 100%=1667.37
2) x%=129.22
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%=1667.37/129.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 129.22 is what percent of 1667.37

100%/x%=1667.37/129.22
(100/x)*x=(1667.37/129.22)*x       - we multiply both sides of the equation by x
100=12.903343135738*x       - we divide both sides of the equation by (12.903343135738) to get x
100/12.903343135738=x
7.7499295297385=x
x=7.7499295297385

now we have:
129.22 is 7.7499295297385% of 1667.37