27.5 is what percent of 188.333 - 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 188.333 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 188.333, so we can write it down as 100%=188.333.
4. We know, that x% equals 27.5 of the output value, so we can write it down as x%=27.5.
5. Now we have two simple equations:
1) 100%=188.333
2) x%=27.5
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%=188.333/27.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.5 is what percent of 188.333

100%/x%=188.333/27.5
(100/x)*x=(188.333/27.5)*x       - we multiply both sides of the equation by x
100=6.8484727272727*x       - we divide both sides of the equation by (6.8484727272727) to get x
100/6.8484727272727=x
14.601795755391=x
x=14.601795755391

now we have:
27.5 is 14.601795755391% of 188.333