299.99 is what percent of 999.99 - 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 999.99 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 100% equals 999.99, so we can write it down as 100%=999.99.
4. We know, that x% equals 299.99 of the output value, so we can write it down as x%=299.99.
5. Now we have two simple equations:
1) 100%=999.99
2) x%=299.99
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:
100%/x%=999.99/299.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.99 is what percent of 999.99

100%/x%=999.99/299.99
(100/x)*x=(999.99/299.99)*x       - we multiply both sides of the equation by x
100=3.3334111137038*x       - we divide both sides of the equation by (3.3334111137038) to get x
100/3.3334111137038=x
29.999299993=x
x=29.999299993

now we have:
299.99 is 29.999299993% of 999.99