40 is what percent of 0.3 - 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 0.3 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 0.3, so we can write it down as 100%=0.3.
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%=0.3
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%=0.3/40
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 0.3

100%/x%=0.3/40
(100/x)*x=(0.3/40)*x       - we multiply both sides of the equation by x
100=0.0075*x       - we divide both sides of the equation by (0.0075) to get x
100/0.0075=x
13333.333333333=x
x=13333.333333333

now we have:
40 is 13333.333333333% of 0.3