9.95 is what percent of 16.95 - 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 16.95 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 16.95, so we can write it down as 100%=16.95.
4. We know, that x% equals 9.95 of the output value, so we can write it down as x%=9.95.
5. Now we have two simple equations:
1) 100%=16.95
2) x%=9.95
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%=16.95/9.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.95 is what percent of 16.95

100%/x%=16.95/9.95
(100/x)*x=(16.95/9.95)*x       - we multiply both sides of the equation by x
100=1.7035175879397*x       - we divide both sides of the equation by (1.7035175879397) to get x
100/1.7035175879397=x
58.702064896755=x
x=58.702064896755

now we have:
9.95 is 58.702064896755% of 16.95