What is 2.9 percent of 19.99 - 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 19.99 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 19.99 is 100%, so we can write it down as 19.99=100%.
4. We know, that x is 2.9% of the output value, so we can write it down as x=2.9%.
5. Now we have two simple equations:
1) 19.99=100%
2) x=2.9%
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:
19.99/x=100%/2.9%
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 2.9% of 19.99

19.99/x=100/2.9
(19.99/x)*x=(100/2.9)*x       - we multiply both sides of the equation by x
19.99=34.48275862069*x       - we divide both sides of the equation by (34.48275862069) to get x
19.99/34.48275862069=x
0.57971=x
x=0.57971

now we have:
2.9% of 19.99=0.57971