23 is what percent of 95.906 - 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 95.906 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 95.906, so we can write it down as 100%=95.906.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=95.906
2) x%=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%=95.906/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 95.906

100%/x%=95.906/23
(100/x)*x=(95.906/23)*x       - we multiply both sides of the equation by x
100=4.16982608696*x       - we divide both sides of the equation by (4.16982608696) to get x
100/4.16982608696=x
23.9818155277=x
x=23.9818155277

now we have:
23 is 23.9818155277% of 95.906