204.8 is what percent of 1196 - 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 1196 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 1196, so we can write it down as 100%=1196.
4. We know, that x% equals 204.8 of the output value, so we can write it down as x%=204.8.
5. Now we have two simple equations:
1) 100%=1196
2) x%=204.8
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%=1196/204.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 204.8 is what percent of 1196

100%/x%=1196/204.8
(100/x)*x=(1196/204.8)*x       - we multiply both sides of the equation by x
100=5.83984375*x       - we divide both sides of the equation by (5.83984375) to get x
100/5.83984375=x
17.123745819398=x
x=17.123745819398

now we have:
204.8 is 17.123745819398% of 1196