27.41 is what percent of 184.59 - 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 184.59 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 184.59, so we can write it down as 100%=184.59.
4. We know, that x% equals 27.41 of the output value, so we can write it down as x%=27.41.
5. Now we have two simple equations:
1) 100%=184.59
2) x%=27.41
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%=184.59/27.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.41 is what percent of 184.59

100%/x%=184.59/27.41
(100/x)*x=(184.59/27.41)*x       - we multiply both sides of the equation by x
100=6.7344035023714*x       - we divide both sides of the equation by (6.7344035023714) to get x
100/6.7344035023714=x
14.849125088033=x
x=14.849125088033

now we have:
27.41 is 14.849125088033% of 184.59