4.12 is what percent of 34.4 - 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 34.4 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 34.4, so we can write it down as 100%=34.4.
4. We know, that x% equals 4.12 of the output value, so we can write it down as x%=4.12.
5. Now we have two simple equations:
1) 100%=34.4
2) x%=4.12
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%=34.4/4.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.12 is what percent of 34.4

100%/x%=34.4/4.12
(100/x)*x=(34.4/4.12)*x       - we multiply both sides of the equation by x
100=8.3495145631068*x       - we divide both sides of the equation by (8.3495145631068) to get x
100/8.3495145631068=x
11.976744186047=x
x=11.976744186047

now we have:
4.12 is 11.976744186047% of 34.4