26.8 is what percent of 49.8 - 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 49.8 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 49.8, so we can write it down as 100%=49.8.
4. We know, that x% equals 26.8 of the output value, so we can write it down as x%=26.8.
5. Now we have two simple equations:
1) 100%=49.8
2) x%=26.8
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%=49.8/26.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.8 is what percent of 49.8

100%/x%=49.8/26.8
(100/x)*x=(49.8/26.8)*x       - we multiply both sides of the equation by x
100=1.8582089552239*x       - we divide both sides of the equation by (1.8582089552239) to get x
100/1.8582089552239=x
53.815261044177=x
x=53.815261044177

now we have:
26.8 is 53.815261044177% of 49.8