27.7 is what percent of 75 - 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 75 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 75, so we can write it down as 100%=75.
4. We know, that x% equals 27.7 of the output value, so we can write it down as x%=27.7.
5. Now we have two simple equations:
1) 100%=75
2) x%=27.7
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%=75/27.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.7 is what percent of 75

100%/x%=75/27.7
(100/x)*x=(75/27.7)*x       - we multiply both sides of the equation by x
100=2.7075812274368*x       - we divide both sides of the equation by (2.7075812274368) to get x
100/2.7075812274368=x
36.933333333333=x
x=36.933333333333

now we have:
27.7 is 36.933333333333% of 75