99.99 is what percent of 329.99 - 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 329.99 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 329.99, so we can write it down as 100%=329.99.
4. We know, that x% equals 99.99 of the output value, so we can write it down as x%=99.99.
5. Now we have two simple equations:
1) 100%=329.99
2) x%=99.99
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%=329.99/99.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.99 is what percent of 329.99

100%/x%=329.99/99.99
(100/x)*x=(329.99/99.99)*x       - we multiply both sides of the equation by x
100=3.3002300230023*x       - we divide both sides of the equation by (3.3002300230023) to get x
100/3.3002300230023=x
30.300918209643=x
x=30.300918209643

now we have:
99.99 is 30.300918209643% of 329.99