97.6 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 97.6 of the output value, so we can write it down as x%=97.6.
5. Now we have two simple equations:
1) 100%=204.8
2) x%=97.6
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%=204.8/97.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.6 is what percent of 204.8

100%/x%=204.8/97.6
(100/x)*x=(204.8/97.6)*x       - we multiply both sides of the equation by x
100=2.0983606557377*x       - we divide both sides of the equation by (2.0983606557377) to get x
100/2.0983606557377=x
47.65625=x
x=47.65625

now we have:
97.6 is 47.65625% of 204.8