337.54 is what percent of 467.47 - 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 467.47 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 467.47, so we can write it down as 100%=467.47.
4. We know, that x% equals 337.54 of the output value, so we can write it down as x%=337.54.
5. Now we have two simple equations:
1) 100%=467.47
2) x%=337.54
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%=467.47/337.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 337.54 is what percent of 467.47

100%/x%=467.47/337.54
(100/x)*x=(467.47/337.54)*x       - we multiply both sides of the equation by x
100=1.3849321561889*x       - we divide both sides of the equation by (1.3849321561889) to get x
100/1.3849321561889=x
72.205703039767=x
x=72.205703039767

now we have:
337.54 is 72.205703039767% of 467.47