150.71 is what percent of 1269.1 - 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 1269.1 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 1269.1, so we can write it down as 100%=1269.1.
4. We know, that x% equals 150.71 of the output value, so we can write it down as x%=150.71.
5. Now we have two simple equations:
1) 100%=1269.1
2) x%=150.71
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%=1269.1/150.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.71 is what percent of 1269.1

100%/x%=1269.1/150.71
(100/x)*x=(1269.1/150.71)*x       - we multiply both sides of the equation by x
100=8.42080817464*x       - we divide both sides of the equation by (8.42080817464) to get x
100/8.42080817464=x
11.875344732488=x
x=11.875344732488

now we have:
150.71 is 11.875344732488% of 1269.1