32.75 is what percent of 27.25 - 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 27.25 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 27.25, so we can write it down as 100%=27.25.
4. We know, that x% equals 32.75 of the output value, so we can write it down as x%=32.75.
5. Now we have two simple equations:
1) 100%=27.25
2) x%=32.75
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%=27.25/32.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.75 is what percent of 27.25

100%/x%=27.25/32.75
(100/x)*x=(27.25/32.75)*x       - we multiply both sides of the equation by x
100=0.83206106870229*x       - we divide both sides of the equation by (0.83206106870229) to get x
100/0.83206106870229=x
120.18348623853=x
x=120.18348623853

now we have:
32.75 is 120.18348623853% of 27.25