What is 4.7 percent of 199.82 - 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 199.82 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 199.82 is 100%, so we can write it down as 199.82=100%.
4. We know, that x is 4.7% of the output value, so we can write it down as x=4.7%.
5. Now we have two simple equations:
1) 199.82=100%
2) x=4.7%
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:
199.82/x=100%/4.7%
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 4.7% of 199.82

199.82/x=100/4.7
(199.82/x)*x=(100/4.7)*x       - we multiply both sides of the equation by x
199.82=21.276595744681*x       - we divide both sides of the equation by (21.276595744681) to get x
199.82/21.276595744681=x
9.39154=x
x=9.39154

now we have:
4.7% of 199.82=9.39154