What is 10 percent of 199.295 - 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 199.295 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 199.295 is 100%, so we can write it down as 199.295=100%.
4. We know, that x is 10% of the output value, so we can write it down as x=10%.
5. Now we have two simple equations:
1) 199.295=100%
2) x=10%
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:
199.295/x=100%/10%
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 10% of 199.295

199.295/x=100/10
(199.295/x)*x=(100/10)*x       - we multiply both sides of the equation by x
199.295=10*x       - we divide both sides of the equation by (10) to get x
199.295/10=x
19.9295=x
x=19.9295

now we have:
10% of 199.295=19.9295