337.36 is what percent of 418.14 - 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 418.14 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 418.14, so we can write it down as 100%=418.14.
4. We know, that x% equals 337.36 of the output value, so we can write it down as x%=337.36.
5. Now we have two simple equations:
1) 100%=418.14
2) x%=337.36
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%=418.14/337.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 337.36 is what percent of 418.14

100%/x%=418.14/337.36
(100/x)*x=(418.14/337.36)*x       - we multiply both sides of the equation by x
100=1.2394474745079*x       - we divide both sides of the equation by (1.2394474745079) to get x
100/1.2394474745079=x
80.68111158942=x
x=80.68111158942

now we have:
337.36 is 80.68111158942% of 418.14