845.35 is what percent of 1020 - 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 1020 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 1020, so we can write it down as 100%=1020.
4. We know, that x% equals 845.35 of the output value, so we can write it down as x%=845.35.
5. Now we have two simple equations:
1) 100%=1020
2) x%=845.35
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%=1020/845.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 845.35 is what percent of 1020

100%/x%=1020/845.35
(100/x)*x=(1020/845.35)*x       - we multiply both sides of the equation by x
100=1.20660081623*x       - we divide both sides of the equation by (1.20660081623) to get x
100/1.20660081623=x
82.877450980392=x
x=82.877450980392

now we have:
845.35 is 82.877450980392% of 1020