40 is what percent of 100.928 - 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 100.928 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 100.928, so we can write it down as 100%=100.928.
4. We know, that x% equals 40 of the output value, so we can write it down as x%=40.
5. Now we have two simple equations:
1) 100%=100.928
2) x%=40
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%=100.928/40
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40 is what percent of 100.928

100%/x%=100.928/40
(100/x)*x=(100.928/40)*x       - we multiply both sides of the equation by x
100=2.5232*x       - we divide both sides of the equation by (2.5232) to get x
100/2.5232=x
39.632213062777=x
x=39.632213062777

now we have:
40 is 39.632213062777% of 100.928