What is 9.55 percent of 19.95 - 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 19.95 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 19.95 is 100%, so we can write it down as 19.95=100%.
4. We know, that x is 9.55% of the output value, so we can write it down as x=9.55%.
5. Now we have two simple equations:
1) 19.95=100%
2) x=9.55%
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:
19.95/x=100%/9.55%
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 9.55% of 19.95

19.95/x=100/9.55
(19.95/x)*x=(100/9.55)*x       - we multiply both sides of the equation by x
19.95=10.471204188482*x       - we divide both sides of the equation by (10.471204188482) to get x
19.95/10.471204188482=x
1.905225=x
x=1.905225

now we have:
9.55% of 19.95=1.905225