What is 4.2 percent of 999.99 - 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 999.99 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 999.99 is 100%, so we can write it down as 999.99=100%.
4. We know, that x is 4.2% of the output value, so we can write it down as x=4.2%.
5. Now we have two simple equations:
1) 999.99=100%
2) x=4.2%
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:
999.99/x=100%/4.2%
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 4.2% of 999.99

999.99/x=100/4.2
(999.99/x)*x=(100/4.2)*x       - we multiply both sides of the equation by x
999.99=23.809523809524*x       - we divide both sides of the equation by (23.809523809524) to get x
999.99/23.809523809524=x
41.99958=x
x=41.99958

now we have:
4.2% of 999.99=41.99958