What is 19.98 percent of 5.09 - 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 5.09 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 5.09 is 100%, so we can write it down as 5.09=100%.
4. We know, that x is 19.98% of the output value, so we can write it down as x=19.98%.
5. Now we have two simple equations:
1) 5.09=100%
2) x=19.98%
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:
5.09/x=100%/19.98%
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 19.98% of 5.09

5.09/x=100/19.98
(5.09/x)*x=(100/19.98)*x       - we multiply both sides of the equation by x
5.09=5.005005005005*x       - we divide both sides of the equation by (5.005005005005) to get x
5.09/5.005005005005=x
1.016982=x
x=1.016982

now we have:
19.98% of 5.09=1.016982