27.75 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
4. We know, that x% equals 27.75 of the output value, so we can write it down as x%=27.75.
5. Now we have two simple equations:
1) 100%=32
2) x%=27.75
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%=32/27.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.75 is what percent of 32

100%/x%=32/27.75
(100/x)*x=(32/27.75)*x       - we multiply both sides of the equation by x
100=1.1531531531532*x       - we divide both sides of the equation by (1.1531531531532) to get x
100/1.1531531531532=x
86.71875=x
x=86.71875

now we have:
27.75 is 86.71875% of 32