41.51 is what percent of 41.58 - 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 41.58 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 41.58, so we can write it down as 100%=41.58.
4. We know, that x% equals 41.51 of the output value, so we can write it down as x%=41.51.
5. Now we have two simple equations:
1) 100%=41.58
2) x%=41.51
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%=41.58/41.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.51 is what percent of 41.58

100%/x%=41.58/41.51
(100/x)*x=(41.58/41.51)*x       - we multiply both sides of the equation by x
100=1.0016863406408*x       - we divide both sides of the equation by (1.0016863406408) to get x
100/1.0016863406408=x
99.83164983165=x
x=99.83164983165

now we have:
41.51 is 99.83164983165% of 41.58