56.5 is what percent of 198 - 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 198 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 198, so we can write it down as 100%=198.
4. We know, that x% equals 56.5 of the output value, so we can write it down as x%=56.5.
5. Now we have two simple equations:
1) 100%=198
2) x%=56.5
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%=198/56.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.5 is what percent of 198

100%/x%=198/56.5
(100/x)*x=(198/56.5)*x       - we multiply both sides of the equation by x
100=3.5044247787611*x       - we divide both sides of the equation by (3.5044247787611) to get x
100/3.5044247787611=x
28.535353535354=x
x=28.535353535354

now we have:
56.5 is 28.535353535354% of 198