150.73 is what percent of 1255 - 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 1255 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 1255, so we can write it down as 100%=1255.
4. We know, that x% equals 150.73 of the output value, so we can write it down as x%=150.73.
5. Now we have two simple equations:
1) 100%=1255
2) x%=150.73
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%=1255/150.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.73 is what percent of 1255

100%/x%=1255/150.73
(100/x)*x=(1255/150.73)*x       - we multiply both sides of the equation by x
100=8.3261460890334*x       - we divide both sides of the equation by (8.3261460890334) to get x
100/8.3261460890334=x
12.010358565737=x
x=12.010358565737

now we have:
150.73 is 12.010358565737% of 1255