27.2 is what percent of 189.8 - 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 189.8 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 189.8, so we can write it down as 100%=189.8.
4. We know, that x% equals 27.2 of the output value, so we can write it down as x%=27.2.
5. Now we have two simple equations:
1) 100%=189.8
2) x%=27.2
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%=189.8/27.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.2 is what percent of 189.8

100%/x%=189.8/27.2
(100/x)*x=(189.8/27.2)*x       - we multiply both sides of the equation by x
100=6.9779411764706*x       - we divide both sides of the equation by (6.9779411764706) to get x
100/6.9779411764706=x
14.330874604847=x
x=14.330874604847

now we have:
27.2 is 14.330874604847% of 189.8