337.12 is what percent of 409.5 - 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 409.5 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 409.5, so we can write it down as 100%=409.5.
4. We know, that x% equals 337.12 of the output value, so we can write it down as x%=337.12.
5. Now we have two simple equations:
1) 100%=409.5
2) x%=337.12
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%=409.5/337.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 337.12 is what percent of 409.5

100%/x%=409.5/337.12
(100/x)*x=(409.5/337.12)*x       - we multiply both sides of the equation by x
100=1.2147009966777*x       - we divide both sides of the equation by (1.2147009966777) to get x
100/1.2147009966777=x
82.324786324786=x
x=82.324786324786

now we have:
337.12 is 82.324786324786% of 409.5