329.99 is what percent of 399.9 - 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 399.9 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 399.9, so we can write it down as 100%=399.9.
4. We know, that x% equals 329.99 of the output value, so we can write it down as x%=329.99.
5. Now we have two simple equations:
1) 100%=399.9
2) x%=329.99
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%=399.9/329.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 329.99 is what percent of 399.9

100%/x%=399.9/329.99
(100/x)*x=(399.9/329.99)*x       - we multiply both sides of the equation by x
100=1.2118549046941*x       - we divide both sides of the equation by (1.2118549046941) to get x
100/1.2118549046941=x
82.518129532383=x
x=82.518129532383

now we have:
329.99 is 82.518129532383% of 399.9