What is 40 percent of 119.31 - 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 119.31 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 119.31 is 100%, so we can write it down as 119.31=100%.
4. We know, that x is 40% of the output value, so we can write it down as x=40%.
5. Now we have two simple equations:
1) 119.31=100%
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:
119.31/x=100%/40%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 40% of 119.31

119.31/x=100/40
(119.31/x)*x=(100/40)*x       - we multiply both sides of the equation by x
119.31=2.5*x       - we divide both sides of the equation by (2.5) to get x
119.31/2.5=x
47.724=x
x=47.724

now we have:
40% of 119.31=47.724