What is 0.099 percent of 203.8 - 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 203.8 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 203.8 is 100%, so we can write it down as 203.8=100%.
4. We know, that x is 0.099% of the output value, so we can write it down as x=0.099%.
5. Now we have two simple equations:
1) 203.8=100%
2) x=0.099%
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:
203.8/x=100%/0.099%
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 0.099% of 203.8

203.8/x=100/0.099
(203.8/x)*x=(100/0.099)*x       - we multiply both sides of the equation by x
203.8=1010.101010101*x       - we divide both sides of the equation by (1010.101010101) to get x
203.8/1010.101010101=x
0.201762=x
x=0.201762

now we have:
0.099% of 203.8=0.201762