12 is what percent of 176.75 - 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 176.75 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 176.75, so we can write it down as 100%=176.75.
4. We know, that x% equals 12 of the output value, so we can write it down as x%=12.
5. Now we have two simple equations:
1) 100%=176.75
2) x%=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%=176.75/12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12 is what percent of 176.75

100%/x%=176.75/12
(100/x)*x=(176.75/12)*x       - we multiply both sides of the equation by x
100=14.729166666667*x       - we divide both sides of the equation by (14.729166666667) to get x
100/14.729166666667=x
6.7892503536068=x
x=6.7892503536068

now we have:
12 is 6.7892503536068% of 176.75