72.44 is what percent of 1289.12 - 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 1289.12 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 1289.12, so we can write it down as 100%=1289.12.
4. We know, that x% equals 72.44 of the output value, so we can write it down as x%=72.44.
5. Now we have two simple equations:
1) 100%=1289.12
2) x%=72.44
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%=1289.12/72.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.44 is what percent of 1289.12

100%/x%=1289.12/72.44
(100/x)*x=(1289.12/72.44)*x       - we multiply both sides of the equation by x
100=17.7956929873*x       - we divide both sides of the equation by (17.7956929873) to get x
100/17.7956929873=x
5.6193372222912=x
x=5.6193372222912

now we have:
72.44 is 5.6193372222912% of 1289.12