What is 5.6 percent of 199.99 - 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 199.99 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 199.99 is 100%, so we can write it down as 199.99=100%.
4. We know, that x is 5.6% of the output value, so we can write it down as x=5.6%.
5. Now we have two simple equations:
1) 199.99=100%
2) x=5.6%
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:
199.99/x=100%/5.6%
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 5.6% of 199.99

199.99/x=100/5.6
(199.99/x)*x=(100/5.6)*x       - we multiply both sides of the equation by x
199.99=17.857142857143*x       - we divide both sides of the equation by (17.857142857143) to get x
199.99/17.857142857143=x
11.19944=x
x=11.19944

now we have:
5.6% of 199.99=11.19944