334.64 is what percent of 1805.36 - 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 1805.36 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 1805.36, so we can write it down as 100%=1805.36.
4. We know, that x% equals 334.64 of the output value, so we can write it down as x%=334.64.
5. Now we have two simple equations:
1) 100%=1805.36
2) x%=334.64
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%=1805.36/334.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 334.64 is what percent of 1805.36

100%/x%=1805.36/334.64
(100/x)*x=(1805.36/334.64)*x       - we multiply both sides of the equation by x
100=5.394931867081*x       - we divide both sides of the equation by (5.394931867081) to get x
100/5.394931867081=x
18.535915274516=x
x=18.535915274516

now we have:
334.64 is 18.535915274516% of 1805.36