1.14 is what percent of 11.6 - 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 11.6 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 11.6, so we can write it down as 100%=11.6.
4. We know, that x% equals 1.14 of the output value, so we can write it down as x%=1.14.
5. Now we have two simple equations:
1) 100%=11.6
2) x%=1.14
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%=11.6/1.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.14 is what percent of 11.6

100%/x%=11.6/1.14
(100/x)*x=(11.6/1.14)*x       - we multiply both sides of the equation by x
100=10.175438596491*x       - we divide both sides of the equation by (10.175438596491) to get x
100/10.175438596491=x
9.8275862068965=x
x=9.8275862068965

now we have:
1.14 is 9.8275862068965% of 11.6