41.67 is what percent of 266.9 - 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 266.9 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 266.9, so we can write it down as 100%=266.9.
4. We know, that x% equals 41.67 of the output value, so we can write it down as x%=41.67.
5. Now we have two simple equations:
1) 100%=266.9
2) x%=41.67
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%=266.9/41.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.67 is what percent of 266.9

100%/x%=266.9/41.67
(100/x)*x=(266.9/41.67)*x       - we multiply both sides of the equation by x
100=6.4050875929926*x       - we divide both sides of the equation by (6.4050875929926) to get x
100/6.4050875929926=x
15.612588984638=x
x=15.612588984638

now we have:
41.67 is 15.612588984638% of 266.9