38.25 is what percent of 27 - 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 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, so we can write it down as 100%=27.
4. We know, that x% equals 38.25 of the output value, so we can write it down as x%=38.25.
5. Now we have two simple equations:
1) 100%=27
2) x%=38.25
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%=27/38.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.25 is what percent of 27

100%/x%=27/38.25
(100/x)*x=(27/38.25)*x       - we multiply both sides of the equation by x
100=0.70588235294118*x       - we divide both sides of the equation by (0.70588235294118) to get x
100/0.70588235294118=x
141.66666666667=x
x=141.66666666667

now we have:
38.25 is 141.66666666667% of 27