12.56 is what percent of 0.1259 - 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 0.1259 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 0.1259, so we can write it down as 100%=0.1259.
4. We know, that x% equals 12.56 of the output value, so we can write it down as x%=12.56.
5. Now we have two simple equations:
1) 100%=0.1259
2) x%=12.56
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%=0.1259/12.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.56 is what percent of 0.1259

100%/x%=0.1259/12.56
(100/x)*x=(0.1259/12.56)*x       - we multiply both sides of the equation by x
100=0.010023885350318*x       - we divide both sides of the equation by (0.010023885350318) to get x
100/0.010023885350318=x
9976.1715647339=x
x=9976.1715647339

now we have:
12.56 is 9976.1715647339% of 0.1259