848.64 is what percent of 20800 - 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 20800 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 20800, so we can write it down as 100%=20800.
4. We know, that x% equals 848.64 of the output value, so we can write it down as x%=848.64.
5. Now we have two simple equations:
1) 100%=20800
2) x%=848.64
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%=20800/848.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 848.64 is what percent of 20800

100%/x%=20800/848.64
(100/x)*x=(20800/848.64)*x       - we multiply both sides of the equation by x
100=24.509803921569*x       - we divide both sides of the equation by (24.509803921569) to get x
100/24.509803921569=x
4.08=x
x=4.08

now we have:
848.64 is 4.08% of 20800