1.28 is what percent of 123.5 - 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 123.5 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 123.5, so we can write it down as 100%=123.5.
4. We know, that x% equals 1.28 of the output value, so we can write it down as x%=1.28.
5. Now we have two simple equations:
1) 100%=123.5
2) x%=1.28
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%=123.5/1.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.28 is what percent of 123.5

100%/x%=123.5/1.28
(100/x)*x=(123.5/1.28)*x       - we multiply both sides of the equation by x
100=96.484375*x       - we divide both sides of the equation by (96.484375) to get x
100/96.484375=x
1.0364372469636=x
x=1.0364372469636

now we have:
1.28 is 1.0364372469636% of 123.5