41.96 is what percent of 280.96 - 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 280.96 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 280.96, so we can write it down as 100%=280.96.
4. We know, that x% equals 41.96 of the output value, so we can write it down as x%=41.96.
5. Now we have two simple equations:
1) 100%=280.96
2) x%=41.96
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%=280.96/41.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.96 is what percent of 280.96

100%/x%=280.96/41.96
(100/x)*x=(280.96/41.96)*x       - we multiply both sides of the equation by x
100=6.69590085796*x       - we divide both sides of the equation by (6.69590085796) to get x
100/6.69590085796=x
14.934510250569=x
x=14.934510250569

now we have:
41.96 is 14.934510250569% of 280.96