12.76 is what percent of 18.46 - 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 18.46 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 18.46, so we can write it down as 100%=18.46.
4. We know, that x% equals 12.76 of the output value, so we can write it down as x%=12.76.
5. Now we have two simple equations:
1) 100%=18.46
2) x%=12.76
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%=18.46/12.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.76 is what percent of 18.46

100%/x%=18.46/12.76
(100/x)*x=(18.46/12.76)*x       - we multiply both sides of the equation by x
100=1.4467084639498*x       - we divide both sides of the equation by (1.4467084639498) to get x
100/1.4467084639498=x
69.122426868906=x
x=69.122426868906

now we have:
12.76 is 69.122426868906% of 18.46