272.55 is 34.5% of what number?

a. 90.03
b. 92.03
c. 94.03
d. 96.03


To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 272.55 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 272.55 is 100%, so we can write it down as 272.55=100%.
4. We know, that x is 34.5% of the output value, so we can write it down as x=34.5%.
5. Now we have two simple equations:
1) 272.55=100%
2) x=34.5%
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:
272.55/x=100%/34.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 34.5% of 272.55

272.55/x=100/34.5
(272.55/x)*x=(100/34.5)*x       - we multiply both sides of the equation by x
272.55=2.89855072464*x       - we divide both sides of the equation by (2.89855072464) to get x
272.55/2.89855072464=x
94.02975=x
x=94.02975

now we have:
34.5% of 272.55=94.02975

Mathematics

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