49.09 is what percent of 54 - 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 54 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 54, so we can write it down as 100%=54.
4. We know, that x% equals 49.09 of the output value, so we can write it down as x%=49.09.
5. Now we have two simple equations:
1) 100%=54
2) x%=49.09
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%=54/49.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.09 is what percent of 54

100%/x%=54/49.09
(100/x)*x=(54/49.09)*x       - we multiply both sides of the equation by x
100=1.1000203707476*x       - we divide both sides of the equation by (1.1000203707476) to get x
100/1.1000203707476=x
90.907407407407=x
x=90.907407407407

now we have:
49.09 is 90.907407407407% of 54