99.97 is what percent of 195 - 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 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, so we can write it down as 100%=195.
4. We know, that x% equals 99.97 of the output value, so we can write it down as x%=99.97.
5. Now we have two simple equations:
1) 100%=195
2) x%=99.97
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%=195/99.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.97 is what percent of 195

100%/x%=195/99.97
(100/x)*x=(195/99.97)*x       - we multiply both sides of the equation by x
100=1.9505851755527*x       - we divide both sides of the equation by (1.9505851755527) to get x
100/1.9505851755527=x
51.266666666667=x
x=51.266666666667

now we have:
99.97 is 51.266666666667% of 195