34.1 is what percent of 204.8 - 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 204.8 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 204.8, so we can write it down as 100%=204.8.
4. We know, that x% equals 34.1 of the output value, so we can write it down as x%=34.1.
5. Now we have two simple equations:
1) 100%=204.8
2) x%=34.1
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%=204.8/34.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.1 is what percent of 204.8

100%/x%=204.8/34.1
(100/x)*x=(204.8/34.1)*x       - we multiply both sides of the equation by x
100=6.0058651026393*x       - we divide both sides of the equation by (6.0058651026393) to get x
100/6.0058651026393=x
16.650390625=x
x=16.650390625

now we have:
34.1 is 16.650390625% of 204.8