3 is what percent of 36.63 - 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 36.63 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 36.63, so we can write it down as 100%=36.63.
4. We know, that x% equals 3 of the output value, so we can write it down as x%=3.
5. Now we have two simple equations:
1) 100%=36.63
2) x%=3
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%=36.63/3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3 is what percent of 36.63

100%/x%=36.63/3
(100/x)*x=(36.63/3)*x       - we multiply both sides of the equation by x
100=12.21*x       - we divide both sides of the equation by (12.21) to get x
100/12.21=x
8.1900081900082=x
x=8.1900081900082

now we have:
3 is 8.1900081900082% of 36.63