41.23 is what percent of 84.05 - 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 84.05 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 84.05, so we can write it down as 100%=84.05.
4. We know, that x% equals 41.23 of the output value, so we can write it down as x%=41.23.
5. Now we have two simple equations:
1) 100%=84.05
2) x%=41.23
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%=84.05/41.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.23 is what percent of 84.05

100%/x%=84.05/41.23
(100/x)*x=(84.05/41.23)*x       - we multiply both sides of the equation by x
100=2.0385641523163*x       - we divide both sides of the equation by (2.0385641523163) to get x
100/2.0385641523163=x
49.054134443783=x
x=49.054134443783

now we have:
41.23 is 49.054134443783% of 84.05