12.87 is what percent of 1.28 - 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 1.28 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 1.28, so we can write it down as 100%=1.28.
4. We know, that x% equals 12.87 of the output value, so we can write it down as x%=12.87.
5. Now we have two simple equations:
1) 100%=1.28
2) x%=12.87
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%=1.28/12.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.87 is what percent of 1.28

100%/x%=1.28/12.87
(100/x)*x=(1.28/12.87)*x       - we multiply both sides of the equation by x
100=0.099456099456099*x       - we divide both sides of the equation by (0.099456099456099) to get x
100/0.099456099456099=x
1005.46875=x
x=1005.46875

now we have:
12.87 is 1005.46875% of 1.28