34.6 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 34.6 of the output value, so we can write it down as x%=34.6.
5. Now we have two simple equations:
1) 100%=48.5
2) x%=34.6
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%=48.5/34.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.6 is what percent of 48.5

100%/x%=48.5/34.6
(100/x)*x=(48.5/34.6)*x       - we multiply both sides of the equation by x
100=1.4017341040462*x       - we divide both sides of the equation by (1.4017341040462) to get x
100/1.4017341040462=x
71.340206185567=x
x=71.340206185567

now we have:
34.6 is 71.340206185567% of 48.5