156.75 is what percent of 1638 - 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 1638 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 1638, so we can write it down as 100%=1638.
4. We know, that x% equals 156.75 of the output value, so we can write it down as x%=156.75.
5. Now we have two simple equations:
1) 100%=1638
2) x%=156.75
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%=1638/156.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 156.75 is what percent of 1638

100%/x%=1638/156.75
(100/x)*x=(1638/156.75)*x       - we multiply both sides of the equation by x
100=10.44976076555*x       - we divide both sides of the equation by (10.44976076555) to get x
100/10.44976076555=x
9.5695970695971=x
x=9.5695970695971

now we have:
156.75 is 9.5695970695971% of 1638