4.67 is what percent of 27.5 - 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 27.5 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 27.5, so we can write it down as 100%=27.5.
4. We know, that x% equals 4.67 of the output value, so we can write it down as x%=4.67.
5. Now we have two simple equations:
1) 100%=27.5
2) x%=4.67
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%=27.5/4.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.67 is what percent of 27.5

100%/x%=27.5/4.67
(100/x)*x=(27.5/4.67)*x       - we multiply both sides of the equation by x
100=5.8886509636*x       - we divide both sides of the equation by (5.8886509636) to get x
100/5.8886509636=x
16.9818181818=x
x=16.9818181818

now we have:
4.67 is 16.9818181818% of 27.5