3.6 is what percent of 34.6 - 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 34.6 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 34.6, so we can write it down as 100%=34.6.
4. We know, that x% equals 3.6 of the output value, so we can write it down as x%=3.6.
5. Now we have two simple equations:
1) 100%=34.6
2) x%=3.6
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%=34.6/3.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.6 is what percent of 34.6

100%/x%=34.6/3.6
(100/x)*x=(34.6/3.6)*x       - we multiply both sides of the equation by x
100=9.6111111111111*x       - we divide both sides of the equation by (9.6111111111111) to get x
100/9.6111111111111=x
10.404624277457=x
x=10.404624277457

now we have:
3.6 is 10.404624277457% of 34.6