2.24 is what percent of 125.7 - 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 125.7 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 125.7, so we can write it down as 100%=125.7.
4. We know, that x% equals 2.24 of the output value, so we can write it down as x%=2.24.
5. Now we have two simple equations:
1) 100%=125.7
2) x%=2.24
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%=125.7/2.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.24 is what percent of 125.7

100%/x%=125.7/2.24
(100/x)*x=(125.7/2.24)*x       - we multiply both sides of the equation by x
100=56.116071428571*x       - we divide both sides of the equation by (56.116071428571) to get x
100/56.116071428571=x
1.7820206841687=x
x=1.7820206841687

now we have:
2.24 is 1.7820206841687% of 125.7