27 is what percent of 178.2 - 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 178.2 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 178.2, so we can write it down as 100%=178.2.
4. We know, that x% equals 27 of the output value, so we can write it down as x%=27.
5. Now we have two simple equations:
1) 100%=178.2
2) x%=27
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%=178.2/27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27 is what percent of 178.2

100%/x%=178.2/27
(100/x)*x=(178.2/27)*x       - we multiply both sides of the equation by x
100=6.6*x       - we divide both sides of the equation by (6.6) to get x
100/6.6=x
15.151515151515=x
x=15.151515151515

now we have:
27 is 15.151515151515% of 178.2