150.68 is what percent of 1533.39 - 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 1533.39 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 1533.39, so we can write it down as 100%=1533.39.
4. We know, that x% equals 150.68 of the output value, so we can write it down as x%=150.68.
5. Now we have two simple equations:
1) 100%=1533.39
2) x%=150.68
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%=1533.39/150.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 150.68 is what percent of 1533.39

100%/x%=1533.39/150.68
(100/x)*x=(1533.39/150.68)*x       - we multiply both sides of the equation by x
100=10.176466684364*x       - we divide both sides of the equation by (10.176466684364) to get x
100/10.176466684364=x
9.8265933650278=x
x=9.8265933650278

now we have:
150.68 is 9.8265933650278% of 1533.39