9.95 is what percent of 10.46 - 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 10.46 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 10.46, so we can write it down as 100%=10.46.
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%=10.46
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%=10.46/9.95
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 10.46

100%/x%=10.46/9.95
(100/x)*x=(10.46/9.95)*x       - we multiply both sides of the equation by x
100=1.051256281407*x       - we divide both sides of the equation by (1.051256281407) to get x
100/1.051256281407=x
95.124282982792=x
x=95.124282982792

now we have:
9.95 is 95.124282982792% of 10.46