83 is what percent of 320000 - 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 320000 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 320000, so we can write it down as 100%=320000.
4. We know, that x% equals 83 of the output value, so we can write it down as x%=83.
5. Now we have two simple equations:
1) 100%=320000
2) x%=83
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%=320000/83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83 is what percent of 320000

100%/x%=320000/83
(100/x)*x=(320000/83)*x       - we multiply both sides of the equation by x
100=3855.421686747*x       - we divide both sides of the equation by (3855.421686747) to get x
100/3855.421686747=x
0.0259375=x
x=0.0259375

now we have:
83 is 0.0259375% of 320000