40 is what percent of 3.19 - 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 3.19 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 3.19, so we can write it down as 100%=3.19.
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%=3.19
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%=3.19/40
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 3.19

100%/x%=3.19/40
(100/x)*x=(3.19/40)*x       - we multiply both sides of the equation by x
100=0.07975*x       - we divide both sides of the equation by (0.07975) to get x
100/0.07975=x
1253.9184952978=x
x=1253.9184952978

now we have:
40 is 1253.9184952978% of 3.19