11.46 is what percent of 191.5 - 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 191.5 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 191.5, so we can write it down as 100%=191.5.
4. We know, that x% equals 11.46 of the output value, so we can write it down as x%=11.46.
5. Now we have two simple equations:
1) 100%=191.5
2) x%=11.46
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%=191.5/11.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.46 is what percent of 191.5

100%/x%=191.5/11.46
(100/x)*x=(191.5/11.46)*x       - we multiply both sides of the equation by x
100=16.710296684119*x       - we divide both sides of the equation by (16.710296684119) to get x
100/16.710296684119=x
5.9843342036554=x
x=5.9843342036554

now we have:
11.46 is 5.9843342036554% of 191.5