What is 40 percent of 419.99 - 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 419.99 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 419.99 is 100%, so we can write it down as 419.99=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) 419.99=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:
419.99/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 419.99

419.99/x=100/40
(419.99/x)*x=(100/40)*x       - we multiply both sides of the equation by x
419.99=2.5*x       - we divide both sides of the equation by (2.5) to get x
419.99/2.5=x
167.996=x
x=167.996

now we have:
40% of 419.99=167.996