95.04 is what percent of 65.04 - 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 65.04 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 65.04, so we can write it down as 100%=65.04.
4. We know, that x% equals 95.04 of the output value, so we can write it down as x%=95.04.
5. Now we have two simple equations:
1) 100%=65.04
2) x%=95.04
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%=65.04/95.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.04 is what percent of 65.04

100%/x%=65.04/95.04
(100/x)*x=(65.04/95.04)*x       - we multiply both sides of the equation by x
100=0.68434343434343*x       - we divide both sides of the equation by (0.68434343434343) to get x
100/0.68434343434343=x
146.12546125461=x
x=146.12546125461

now we have:
95.04 is 146.12546125461% of 65.04