16.1 is what percent of 11.93 - 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 11.93 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 11.93, so we can write it down as 100%=11.93.
4. We know, that x% equals 16.1 of the output value, so we can write it down as x%=16.1.
5. Now we have two simple equations:
1) 100%=11.93
2) x%=16.1
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%=11.93/16.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.1 is what percent of 11.93

100%/x%=11.93/16.1
(100/x)*x=(11.93/16.1)*x       - we multiply both sides of the equation by x
100=0.74099378881988*x       - we divide both sides of the equation by (0.74099378881988) to get x
100/0.74099378881988=x
134.9538977368=x
x=134.9538977368

now we have:
16.1 is 134.9538977368% of 11.93