8.46 is what percent of 46.54 - 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 46.54 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 46.54, so we can write it down as 100%=46.54.
4. We know, that x% equals 8.46 of the output value, so we can write it down as x%=8.46.
5. Now we have two simple equations:
1) 100%=46.54
2) x%=8.46
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%=46.54/8.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.46 is what percent of 46.54

100%/x%=46.54/8.46
(100/x)*x=(46.54/8.46)*x       - we multiply both sides of the equation by x
100=5.5011820330969*x       - we divide both sides of the equation by (5.5011820330969) to get x
100/5.5011820330969=x
18.177911474001=x
x=18.177911474001

now we have:
8.46 is 18.177911474001% of 46.54