144.45 is what percent of 1383.07 - 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 1383.07 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 1383.07, so we can write it down as 100%=1383.07.
4. We know, that x% equals 144.45 of the output value, so we can write it down as x%=144.45.
5. Now we have two simple equations:
1) 100%=1383.07
2) x%=144.45
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%=1383.07/144.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 144.45 is what percent of 1383.07

100%/x%=1383.07/144.45
(100/x)*x=(1383.07/144.45)*x       - we multiply both sides of the equation by x
100=9.5747317410869*x       - we divide both sides of the equation by (9.5747317410869) to get x
100/9.5747317410869=x
10.444156839495=x
x=10.444156839495

now we have:
144.45 is 10.444156839495% of 1383.07