3.46 is what percent of 31.63 - 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 31.63 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 31.63, so we can write it down as 100%=31.63.
4. We know, that x% equals 3.46 of the output value, so we can write it down as x%=3.46.
5. Now we have two simple equations:
1) 100%=31.63
2) x%=3.46
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%=31.63/3.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.46 is what percent of 31.63

100%/x%=31.63/3.46
(100/x)*x=(31.63/3.46)*x       - we multiply both sides of the equation by x
100=9.1416184971098*x       - we divide both sides of the equation by (9.1416184971098) to get x
100/9.1416184971098=x
10.938981979134=x
x=10.938981979134

now we have:
3.46 is 10.938981979134% of 31.63