126.7 is what percent of 418.2 - 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 418.2 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 418.2, so we can write it down as 100%=418.2.
4. We know, that x% equals 126.7 of the output value, so we can write it down as x%=126.7.
5. Now we have two simple equations:
1) 100%=418.2
2) x%=126.7
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%=418.2/126.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.7 is what percent of 418.2

100%/x%=418.2/126.7
(100/x)*x=(418.2/126.7)*x       - we multiply both sides of the equation by x
100=3.3007103393844*x       - we divide both sides of the equation by (3.3007103393844) to get x
100/3.3007103393844=x
30.296508847441=x
x=30.296508847441

now we have:
126.7 is 30.296508847441% of 418.2