27.25 is what percent of 30 - 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 30 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 30, so we can write it down as 100%=30.
4. We know, that x% equals 27.25 of the output value, so we can write it down as x%=27.25.
5. Now we have two simple equations:
1) 100%=30
2) x%=27.25
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%=30/27.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.25 is what percent of 30

100%/x%=30/27.25
(100/x)*x=(30/27.25)*x       - we multiply both sides of the equation by x
100=1.1009174311927*x       - we divide both sides of the equation by (1.1009174311927) to get x
100/1.1009174311927=x
90.833333333333=x
x=90.833333333333

now we have:
27.25 is 90.833333333333% of 30