1.05 is what percent of 11.5 - 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 11.5 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 11.5, so we can write it down as 100%=11.5.
4. We know, that x% equals 1.05 of the output value, so we can write it down as x%=1.05.
5. Now we have two simple equations:
1) 100%=11.5
2) x%=1.05
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%=11.5/1.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.05 is what percent of 11.5

100%/x%=11.5/1.05
(100/x)*x=(11.5/1.05)*x       - we multiply both sides of the equation by x
100=10.952380952381*x       - we divide both sides of the equation by (10.952380952381) to get x
100/10.952380952381=x
9.1304347826087=x
x=9.1304347826087

now we have:
1.05 is 9.1304347826087% of 11.5