843.44 is what percent of 3788.8 - 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 3788.8 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 3788.8, so we can write it down as 100%=3788.8.
4. We know, that x% equals 843.44 of the output value, so we can write it down as x%=843.44.
5. Now we have two simple equations:
1) 100%=3788.8
2) x%=843.44
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%=3788.8/843.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 843.44 is what percent of 3788.8

100%/x%=3788.8/843.44
(100/x)*x=(3788.8/843.44)*x       - we multiply both sides of the equation by x
100=4.4920800531158*x       - we divide both sides of the equation by (4.4920800531158) to get x
100/4.4920800531158=x
22.261402027027=x
x=22.261402027027

now we have:
843.44 is 22.261402027027% of 3788.8