42.41 is what percent of 42.23 - 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 42.23 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 42.23, so we can write it down as 100%=42.23.
4. We know, that x% equals 42.41 of the output value, so we can write it down as x%=42.41.
5. Now we have two simple equations:
1) 100%=42.23
2) x%=42.41
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%=42.23/42.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.41 is what percent of 42.23

100%/x%=42.23/42.41
(100/x)*x=(42.23/42.41)*x       - we multiply both sides of the equation by x
100=0.99575571799104*x       - we divide both sides of the equation by (0.99575571799104) to get x
100/0.99575571799104=x
100.42623727208=x
x=100.42623727208

now we have:
42.41 is 100.42623727208% of 42.23