1.17 is what percent of 10.9 - 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 10.9 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 10.9, so we can write it down as 100%=10.9.
4. We know, that x% equals 1.17 of the output value, so we can write it down as x%=1.17.
5. Now we have two simple equations:
1) 100%=10.9
2) x%=1.17
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%=10.9/1.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.17 is what percent of 10.9

100%/x%=10.9/1.17
(100/x)*x=(10.9/1.17)*x       - we multiply both sides of the equation by x
100=9.3162393162393*x       - we divide both sides of the equation by (9.3162393162393) to get x
100/9.3162393162393=x
10.733944954128=x
x=10.733944954128

now we have:
1.17 is 10.733944954128% of 10.9