811.5 is what percent of 845.33 - 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 845.33 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 845.33, so we can write it down as 100%=845.33.
4. We know, that x% equals 811.5 of the output value, so we can write it down as x%=811.5.
5. Now we have two simple equations:
1) 100%=845.33
2) x%=811.5
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%=845.33/811.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 811.5 is what percent of 845.33

100%/x%=845.33/811.5
(100/x)*x=(845.33/811.5)*x       - we multiply both sides of the equation by x
100=1.0416882316697*x       - we divide both sides of the equation by (1.0416882316697) to get x
100/1.0416882316697=x
95.99801261046=x
x=95.99801261046

now we have:
811.5 is 95.99801261046% of 845.33