199.9 is what 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 100% equals 10, so we can write it down as 100%=10.
4. We know, that x% equals 199.9 of the output value, so we can write it down as x%=199.9.
5. Now we have two simple equations:
1) 100%=10
2) x%=199.9
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:
100%/x%=10/199.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 199.9 is what percent of 10

100%/x%=10/199.9
(100/x)*x=(10/199.9)*x       - we multiply both sides of the equation by x
100=0.050025012506253*x       - we divide both sides of the equation by (0.050025012506253) to get x
100/0.050025012506253=x
1999=x
x=1999

now we have:
199.9 is 1999% of 10