1.88 is what percent of 11.686 - 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 11.686 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 11.686, so we can write it down as 100%=11.686.
4. We know, that x% equals 1.88 of the output value, so we can write it down as x%=1.88.
5. Now we have two simple equations:
1) 100%=11.686
2) x%=1.88
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%=11.686/1.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.88 is what percent of 11.686

100%/x%=11.686/1.88
(100/x)*x=(11.686/1.88)*x       - we multiply both sides of the equation by x
100=6.2159574468085*x       - we divide both sides of the equation by (6.2159574468085) to get x
100/6.2159574468085=x
16.087626219408=x
x=16.087626219408

now we have:
1.88 is 16.087626219408% of 11.686