329.95 is what percent of 738.19 - 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 738.19 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 738.19, so we can write it down as 100%=738.19.
4. We know, that x% equals 329.95 of the output value, so we can write it down as x%=329.95.
5. Now we have two simple equations:
1) 100%=738.19
2) x%=329.95
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%=738.19/329.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.95 is what percent of 738.19

100%/x%=738.19/329.95
(100/x)*x=(738.19/329.95)*x       - we multiply both sides of the equation by x
100=2.2372783755114*x       - we divide both sides of the equation by (2.2372783755114) to get x
100/2.2372783755114=x
44.697164686598=x
x=44.697164686598

now we have:
329.95 is 44.697164686598% of 738.19