329.25 is what percent of 447.25 - 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 447.25 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 447.25, so we can write it down as 100%=447.25.
4. We know, that x% equals 329.25 of the output value, so we can write it down as x%=329.25.
5. Now we have two simple equations:
1) 100%=447.25
2) x%=329.25
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%=447.25/329.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.25 is what percent of 447.25

100%/x%=447.25/329.25
(100/x)*x=(447.25/329.25)*x       - we multiply both sides of the equation by x
100=1.3583902809415*x       - we divide both sides of the equation by (1.3583902809415) to get x
100/1.3583902809415=x
73.616545556177=x
x=73.616545556177

now we have:
329.25 is 73.616545556177% of 447.25