41.1 is what percent of 42.6 - 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 42.6 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 42.6, so we can write it down as 100%=42.6.
4. We know, that x% equals 41.1 of the output value, so we can write it down as x%=41.1.
5. Now we have two simple equations:
1) 100%=42.6
2) x%=41.1
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%=42.6/41.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.1 is what percent of 42.6

100%/x%=42.6/41.1
(100/x)*x=(42.6/41.1)*x       - we multiply both sides of the equation by x
100=1.036496350365*x       - we divide both sides of the equation by (1.036496350365) to get x
100/1.036496350365=x
96.478873239437=x
x=96.478873239437

now we have:
41.1 is 96.478873239437% of 42.6