41.6 is what percent of 102.3 - 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 102.3 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 102.3, so we can write it down as 100%=102.3.
4. We know, that x% equals 41.6 of the output value, so we can write it down as x%=41.6.
5. Now we have two simple equations:
1) 100%=102.3
2) x%=41.6
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%=102.3/41.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.6 is what percent of 102.3

100%/x%=102.3/41.6
(100/x)*x=(102.3/41.6)*x       - we multiply both sides of the equation by x
100=2.4591346153846*x       - we divide both sides of the equation by (2.4591346153846) to get x
100/2.4591346153846=x
40.664711632454=x
x=40.664711632454

now we have:
41.6 is 40.664711632454% of 102.3