27.04 is what percent of 41.67 - 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 41.67 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 41.67, so we can write it down as 100%=41.67.
4. We know, that x% equals 27.04 of the output value, so we can write it down as x%=27.04.
5. Now we have two simple equations:
1) 100%=41.67
2) x%=27.04
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%=41.67/27.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.04 is what percent of 41.67

100%/x%=41.67/27.04
(100/x)*x=(41.67/27.04)*x       - we multiply both sides of the equation by x
100=1.541050295858*x       - we divide both sides of the equation by (1.541050295858) to get x
100/1.541050295858=x
64.890808735301=x
x=64.890808735301

now we have:
27.04 is 64.890808735301% of 41.67