99 is what percent of 195.16 - 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 195.16 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 195.16, so we can write it down as 100%=195.16.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=195.16
2) x%=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%=195.16/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 195.16

100%/x%=195.16/99
(100/x)*x=(195.16/99)*x       - we multiply both sides of the equation by x
100=1.9713131313131*x       - we divide both sides of the equation by (1.9713131313131) to get x
100/1.9713131313131=x
50.727608116417=x
x=50.727608116417

now we have:
99 is 50.727608116417% of 195.16