46.9 is what percent of 48.5 - 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 48.5 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 48.5, so we can write it down as 100%=48.5.
4. We know, that x% equals 46.9 of the output value, so we can write it down as x%=46.9.
5. Now we have two simple equations:
1) 100%=48.5
2) x%=46.9
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%=48.5/46.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.9 is what percent of 48.5

100%/x%=48.5/46.9
(100/x)*x=(48.5/46.9)*x       - we multiply both sides of the equation by x
100=1.0341151385928*x       - we divide both sides of the equation by (1.0341151385928) to get x
100/1.0341151385928=x
96.701030927835=x
x=96.701030927835

now we have:
46.9 is 96.701030927835% of 48.5