198.5 is what percent of 197.4 - 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 197.4 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 197.4, so we can write it down as 100%=197.4.
4. We know, that x% equals 198.5 of the output value, so we can write it down as x%=198.5.
5. Now we have two simple equations:
1) 100%=197.4
2) x%=198.5
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%=197.4/198.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 198.5 is what percent of 197.4

100%/x%=197.4/198.5
(100/x)*x=(197.4/198.5)*x       - we multiply both sides of the equation by x
100=0.99445843828715*x       - we divide both sides of the equation by (0.99445843828715) to get x
100/0.99445843828715=x
100.55724417427=x
x=100.55724417427

now we have:
198.5 is 100.55724417427% of 197.4