41.71 is what percent of 43.9 - 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 43.9 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 43.9, so we can write it down as 100%=43.9.
4. We know, that x% equals 41.71 of the output value, so we can write it down as x%=41.71.
5. Now we have two simple equations:
1) 100%=43.9
2) x%=41.71
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%=43.9/41.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.71 is what percent of 43.9

100%/x%=43.9/41.71
(100/x)*x=(43.9/41.71)*x       - we multiply both sides of the equation by x
100=1.0525053943898*x       - we divide both sides of the equation by (1.0525053943898) to get x
100/1.0525053943898=x
95.01138952164=x
x=95.01138952164

now we have:
41.71 is 95.01138952164% of 43.9