127.2 is what percent of 283.33 - 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 283.33 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 283.33, so we can write it down as 100%=283.33.
4. We know, that x% equals 127.2 of the output value, so we can write it down as x%=127.2.
5. Now we have two simple equations:
1) 100%=283.33
2) x%=127.2
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%=283.33/127.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.2 is what percent of 283.33

100%/x%=283.33/127.2
(100/x)*x=(283.33/127.2)*x       - we multiply both sides of the equation by x
100=2.2274371069182*x       - we divide both sides of the equation by (2.2274371069182) to get x
100/2.2274371069182=x
44.894645819363=x
x=44.894645819363

now we have:
127.2 is 44.894645819363% of 283.33