34.2 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 34.2 of the output value, so we can write it down as x%=34.2.
5. Now we have two simple equations:
1) 100%=49.8
2) x%=34.2
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%=49.8/34.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.2 is what percent of 49.8

100%/x%=49.8/34.2
(100/x)*x=(49.8/34.2)*x       - we multiply both sides of the equation by x
100=1.4561403508772*x       - we divide both sides of the equation by (1.4561403508772) to get x
100/1.4561403508772=x
68.674698795181=x
x=68.674698795181

now we have:
34.2 is 68.674698795181% of 49.8