196.99 is what percent of 489.99 - 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 489.99 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 489.99, so we can write it down as 100%=489.99.
4. We know, that x% equals 196.99 of the output value, so we can write it down as x%=196.99.
5. Now we have two simple equations:
1) 100%=489.99
2) x%=196.99
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%=489.99/196.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 196.99 is what percent of 489.99

100%/x%=489.99/196.99
(100/x)*x=(489.99/196.99)*x       - we multiply both sides of the equation by x
100=2.4873851464541*x       - we divide both sides of the equation by (2.4873851464541) to get x
100/2.4873851464541=x
40.202861282883=x
x=40.202861282883

now we have:
196.99 is 40.202861282883% of 489.99