10.5 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 10.5 of the output value, so we can write it down as x%=10.5.
5. Now we have two simple equations:
1) 100%=11995
2) x%=10.5
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%=11995/10.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.5 is what percent of 11995

100%/x%=11995/10.5
(100/x)*x=(11995/10.5)*x       - we multiply both sides of the equation by x
100=1142.380952381*x       - we divide both sides of the equation by (1142.380952381) to get x
100/1142.380952381=x
0.087536473530638=x
x=0.087536473530638

now we have:
10.5 is 0.087536473530638% of 11995