1191.75 is what percent of 11995 - 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 11995 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 11995, so we can write it down as 100%=11995.
4. We know, that x% equals 1191.75 of the output value, so we can write it down as x%=1191.75.
5. Now we have two simple equations:
1) 100%=11995
2) x%=1191.75
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%=11995/1191.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1191.75 is what percent of 11995

100%/x%=11995/1191.75
(100/x)*x=(11995/1191.75)*x       - we multiply both sides of the equation by x
100=10.065030417453*x       - we divide both sides of the equation by (10.065030417453) to get x
100/10.065030417453=x
9.9353897457274=x
x=9.9353897457274

now we have:
1191.75 is 9.9353897457274% of 11995