45.5 is what percent of 47.7 - 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 47.7 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 47.7, so we can write it down as 100%=47.7.
4. We know, that x% equals 45.5 of the output value, so we can write it down as x%=45.5.
5. Now we have two simple equations:
1) 100%=47.7
2) x%=45.5
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%=47.7/45.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.5 is what percent of 47.7

100%/x%=47.7/45.5
(100/x)*x=(47.7/45.5)*x       - we multiply both sides of the equation by x
100=1.0483516483516*x       - we divide both sides of the equation by (1.0483516483516) to get x
100/1.0483516483516=x
95.38784067086=x
x=95.38784067086

now we have:
45.5 is 95.38784067086% of 47.7