What is 40 percent of 159.999 - 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 159.999 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 159.999 is 100%, so we can write it down as 159.999=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) 159.999=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:
159.999/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 159.999

159.999/x=100/40
(159.999/x)*x=(100/40)*x       - we multiply both sides of the equation by x
159.999=2.5*x       - we divide both sides of the equation by (2.5) to get x
159.999/2.5=x
63.9996=x
x=63.9996

now we have:
40% of 159.999=63.9996