4.46 is what percent of 69.37 - 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 69.37 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 69.37, so we can write it down as 100%=69.37.
4. We know, that x% equals 4.46 of the output value, so we can write it down as x%=4.46.
5. Now we have two simple equations:
1) 100%=69.37
2) x%=4.46
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%=69.37/4.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.46 is what percent of 69.37

100%/x%=69.37/4.46
(100/x)*x=(69.37/4.46)*x       - we multiply both sides of the equation by x
100=15.553811659193*x       - we divide both sides of the equation by (15.553811659193) to get x
100/15.553811659193=x
6.4292922012397=x
x=6.4292922012397

now we have:
4.46 is 6.4292922012397% of 69.37