49.23 is what percent of 95.505 - 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 95.505 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 95.505, so we can write it down as 100%=95.505.
4. We know, that x% equals 49.23 of the output value, so we can write it down as x%=49.23.
5. Now we have two simple equations:
1) 100%=95.505
2) x%=49.23
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%=95.505/49.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.23 is what percent of 95.505

100%/x%=95.505/49.23
(100/x)*x=(95.505/49.23)*x       - we multiply both sides of the equation by x
100=1.9399756246191*x       - we divide both sides of the equation by (1.9399756246191) to get x
100/1.9399756246191=x
51.54703942202=x
x=51.54703942202

now we have:
49.23 is 51.54703942202% of 95.505