What is 199.99 percent of 159.99 - 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 159.99 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 159.99 is 100%, so we can write it down as 159.99=100%.
4. We know, that x is 199.99% of the output value, so we can write it down as x=199.99%.
5. Now we have two simple equations:
1) 159.99=100%
2) x=199.99%
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:
159.99/x=100%/199.99%
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 199.99% of 159.99

159.99/x=100/199.99
(159.99/x)*x=(100/199.99)*x       - we multiply both sides of the equation by x
159.99=0.50002500125006*x       - we divide both sides of the equation by (0.50002500125006) to get x
159.99/0.50002500125006=x
319.964001=x
x=319.964001

now we have:
199.99% of 159.99=319.964001