45.9 is what percent of 49.6 - 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 49.6 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 49.6, so we can write it down as 100%=49.6.
4. We know, that x% equals 45.9 of the output value, so we can write it down as x%=45.9.
5. Now we have two simple equations:
1) 100%=49.6
2) x%=45.9
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%=49.6/45.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.9 is what percent of 49.6

100%/x%=49.6/45.9
(100/x)*x=(49.6/45.9)*x       - we multiply both sides of the equation by x
100=1.0806100217865*x       - we divide both sides of the equation by (1.0806100217865) to get x
100/1.0806100217865=x
92.540322580645=x
x=92.540322580645

now we have:
45.9 is 92.540322580645% of 49.6