What is 199.95 percent of 10 - 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 10 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 10 is 100%, so we can write it down as 10=100%.
4. We know, that x is 199.95% of the output value, so we can write it down as x=199.95%.
5. Now we have two simple equations:
1) 10=100%
2) x=199.95%
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:
10/x=100%/199.95%
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 199.95% of 10

10/x=100/199.95
(10/x)*x=(100/199.95)*x       - we multiply both sides of the equation by x
10=0.50012503125781*x       - we divide both sides of the equation by (0.50012503125781) to get x
10/0.50012503125781=x
19.995=x
x=19.995

now we have:
199.95% of 10=19.995