329.43 is what percent of 377.5 - 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 377.5 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 377.5, so we can write it down as 100%=377.5.
4. We know, that x% equals 329.43 of the output value, so we can write it down as x%=329.43.
5. Now we have two simple equations:
1) 100%=377.5
2) x%=329.43
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%=377.5/329.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.43 is what percent of 377.5

100%/x%=377.5/329.43
(100/x)*x=(377.5/329.43)*x       - we multiply both sides of the equation by x
100=1.1459187080715*x       - we divide both sides of the equation by (1.1459187080715) to get x
100/1.1459187080715=x
87.266225165563=x
x=87.266225165563

now we have:
329.43 is 87.266225165563% of 377.5