2.12 is what percent of 11.77 - 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 11.77 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 11.77, so we can write it down as 100%=11.77.
4. We know, that x% equals 2.12 of the output value, so we can write it down as x%=2.12.
5. Now we have two simple equations:
1) 100%=11.77
2) x%=2.12
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%=11.77/2.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.12 is what percent of 11.77

100%/x%=11.77/2.12
(100/x)*x=(11.77/2.12)*x       - we multiply both sides of the equation by x
100=5.5518867924528*x       - we divide both sides of the equation by (5.5518867924528) to get x
100/5.5518867924528=x
18.011894647409=x
x=18.011894647409

now we have:
2.12 is 18.011894647409% of 11.77