12 is what percent of 157.75 - 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 157.75 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 157.75, so we can write it down as 100%=157.75.
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%=157.75
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%=157.75/12
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 157.75

100%/x%=157.75/12
(100/x)*x=(157.75/12)*x       - we multiply both sides of the equation by x
100=13.145833333333*x       - we divide both sides of the equation by (13.145833333333) to get x
100/13.145833333333=x
7.6069730586371=x
x=7.6069730586371

now we have:
12 is 7.6069730586371% of 157.75