40 is what percent of 0.5075 - 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 0.5075 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 0.5075, so we can write it down as 100%=0.5075.
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%=0.5075
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%=0.5075/40
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 0.5075

100%/x%=0.5075/40
(100/x)*x=(0.5075/40)*x       - we multiply both sides of the equation by x
100=0.0126875*x       - we divide both sides of the equation by (0.0126875) to get x
100/0.0126875=x
7881.7733990148=x
x=7881.7733990148

now we have:
40 is 7881.7733990148% of 0.5075