30.97 is what percent of 54.97 - 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 54.97 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 54.97, so we can write it down as 100%=54.97.
4. We know, that x% equals 30.97 of the output value, so we can write it down as x%=30.97.
5. Now we have two simple equations:
1) 100%=54.97
2) x%=30.97
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%=54.97/30.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.97 is what percent of 54.97

100%/x%=54.97/30.97
(100/x)*x=(54.97/30.97)*x       - we multiply both sides of the equation by x
100=1.7749434937036*x       - we divide both sides of the equation by (1.7749434937036) to get x
100/1.7749434937036=x
56.339821720939=x
x=56.339821720939

now we have:
30.97 is 56.339821720939% of 54.97