40 is what percent of 99.94 - 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 99.94 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 99.94, so we can write it down as 100%=99.94.
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%=99.94
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%=99.94/40
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 99.94

100%/x%=99.94/40
(100/x)*x=(99.94/40)*x       - we multiply both sides of the equation by x
100=2.4985*x       - we divide both sides of the equation by (2.4985) to get x
100/2.4985=x
40.024014408645=x
x=40.024014408645

now we have:
40 is 40.024014408645% of 99.94