437.35 is what percent of 3364 - 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 3364 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 3364, so we can write it down as 100%=3364.
4. We know, that x% equals 437.35 of the output value, so we can write it down as x%=437.35.
5. Now we have two simple equations:
1) 100%=3364
2) x%=437.35
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%=3364/437.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 437.35 is what percent of 3364

100%/x%=3364/437.35
(100/x)*x=(3364/437.35)*x       - we multiply both sides of the equation by x
100=7.6917800388705*x       - we divide both sides of the equation by (7.6917800388705) to get x
100/7.6917800388705=x
13.000891795482=x
x=13.000891795482

now we have:
437.35 is 13.000891795482% of 3364