3.73 is what percent of 12.86 - 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 12.86 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 12.86, so we can write it down as 100%=12.86.
4. We know, that x% equals 3.73 of the output value, so we can write it down as x%=3.73.
5. Now we have two simple equations:
1) 100%=12.86
2) x%=3.73
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%=12.86/3.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.73 is what percent of 12.86

100%/x%=12.86/3.73
(100/x)*x=(12.86/3.73)*x       - we multiply both sides of the equation by x
100=3.4477211796247*x       - we divide both sides of the equation by (3.4477211796247) to get x
100/3.4477211796247=x
29.00466562986=x
x=29.00466562986

now we have:
3.73 is 29.00466562986% of 12.86