150.49 is what percent of 1393.6 - 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 1393.6 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 1393.6, so we can write it down as 100%=1393.6.
4. We know, that x% equals 150.49 of the output value, so we can write it down as x%=150.49.
5. Now we have two simple equations:
1) 100%=1393.6
2) x%=150.49
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%=1393.6/150.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.49 is what percent of 1393.6

100%/x%=1393.6/150.49
(100/x)*x=(1393.6/150.49)*x       - we multiply both sides of the equation by x
100=9.2604159744834*x       - we divide both sides of the equation by (9.2604159744834) to get x
100/9.2604159744834=x
10.79865097589=x
x=10.79865097589

now we have:
150.49 is 10.79865097589% of 1393.6