16.4 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 16.4 of the output value, so we can write it down as x%=16.4.
5. Now we have two simple equations:
1) 100%=11.5
2) x%=16.4
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%=11.5/16.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.4 is what percent of 11.5

100%/x%=11.5/16.4
(100/x)*x=(11.5/16.4)*x       - we multiply both sides of the equation by x
100=0.70121951219512*x       - we divide both sides of the equation by (0.70121951219512) to get x
100/0.70121951219512=x
142.60869565217=x
x=142.60869565217

now we have:
16.4 is 142.60869565217% of 11.5