34.92 is what percent of 41.84 - 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 41.84 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 41.84, so we can write it down as 100%=41.84.
4. We know, that x% equals 34.92 of the output value, so we can write it down as x%=34.92.
5. Now we have two simple equations:
1) 100%=41.84
2) x%=34.92
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%=41.84/34.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.92 is what percent of 41.84

100%/x%=41.84/34.92
(100/x)*x=(41.84/34.92)*x       - we multiply both sides of the equation by x
100=1.1981672394044*x       - we divide both sides of the equation by (1.1981672394044) to get x
100/1.1981672394044=x
83.460803059273=x
x=83.460803059273

now we have:
34.92 is 83.460803059273% of 41.84