180.67 is what percent of 1440.83 - 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 1440.83 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 1440.83, so we can write it down as 100%=1440.83.
4. We know, that x% equals 180.67 of the output value, so we can write it down as x%=180.67.
5. Now we have two simple equations:
1) 100%=1440.83
2) x%=180.67
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%=1440.83/180.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 180.67 is what percent of 1440.83

100%/x%=1440.83/180.67
(100/x)*x=(1440.83/180.67)*x       - we multiply both sides of the equation by x
100=7.9749266618697*x       - we divide both sides of the equation by (7.9749266618697) to get x
100/7.9749266618697=x
12.539300264431=x
x=12.539300264431

now we have:
180.67 is 12.539300264431% of 1440.83