What is 0.13 percent of 199.98 - 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 199.98 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 199.98 is 100%, so we can write it down as 199.98=100%.
4. We know, that x is 0.13% of the output value, so we can write it down as x=0.13%.
5. Now we have two simple equations:
1) 199.98=100%
2) x=0.13%
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:
199.98/x=100%/0.13%
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 0.13% of 199.98

199.98/x=100/0.13
(199.98/x)*x=(100/0.13)*x       - we multiply both sides of the equation by x
199.98=769.23076923077*x       - we divide both sides of the equation by (769.23076923077) to get x
199.98/769.23076923077=x
0.259974=x
x=0.259974

now we have:
0.13% of 199.98=0.259974