159.46 is what percent of 1259.46 - 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 1259.46 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 1259.46, so we can write it down as 100%=1259.46.
4. We know, that x% equals 159.46 of the output value, so we can write it down as x%=159.46.
5. Now we have two simple equations:
1) 100%=1259.46
2) x%=159.46
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%=1259.46/159.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.46 is what percent of 1259.46

100%/x%=1259.46/159.46
(100/x)*x=(1259.46/159.46)*x       - we multiply both sides of the equation by x
100=7.89828170074*x       - we divide both sides of the equation by (7.89828170074) to get x
100/7.89828170074=x
12.660981690566=x
x=12.660981690566

now we have:
159.46 is 12.660981690566% of 1259.46