197.25 is what percent of 206.5 - 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 206.5 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 206.5, so we can write it down as 100%=206.5.
4. We know, that x% equals 197.25 of the output value, so we can write it down as x%=197.25.
5. Now we have two simple equations:
1) 100%=206.5
2) x%=197.25
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%=206.5/197.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 197.25 is what percent of 206.5

100%/x%=206.5/197.25
(100/x)*x=(206.5/197.25)*x       - we multiply both sides of the equation by x
100=1.0468948035488*x       - we divide both sides of the equation by (1.0468948035488) to get x
100/1.0468948035488=x
95.520581113801=x
x=95.520581113801

now we have:
197.25 is 95.520581113801% of 206.5