8.28 is what percent of 197 - 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 197 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 197, so we can write it down as 100%=197.
4. We know, that x% equals 8.28 of the output value, so we can write it down as x%=8.28.
5. Now we have two simple equations:
1) 100%=197
2) x%=8.28
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%=197/8.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.28 is what percent of 197

100%/x%=197/8.28
(100/x)*x=(197/8.28)*x       - we multiply both sides of the equation by x
100=23.792270531401*x       - we divide both sides of the equation by (23.792270531401) to get x
100/23.792270531401=x
4.2030456852792=x
x=4.2030456852792

now we have:
8.28 is 4.2030456852792% of 197