150.1 is what percent of 1200 - 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 1200 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 1200, so we can write it down as 100%=1200.
4. We know, that x% equals 150.1 of the output value, so we can write it down as x%=150.1.
5. Now we have two simple equations:
1) 100%=1200
2) x%=150.1
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%=1200/150.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.1 is what percent of 1200

100%/x%=1200/150.1
(100/x)*x=(1200/150.1)*x       - we multiply both sides of the equation by x
100=7.9946702198534*x       - we divide both sides of the equation by (7.9946702198534) to get x
100/7.9946702198534=x
12.508333333333=x
x=12.508333333333

now we have:
150.1 is 12.508333333333% of 1200