0.95 is what percent of 0.9505 - 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 0.9505 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 0.9505, so we can write it down as 100%=0.9505.
4. We know, that x% equals 0.95 of the output value, so we can write it down as x%=0.95.
5. Now we have two simple equations:
1) 100%=0.9505
2) x%=0.95
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%=0.9505/0.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.95 is what percent of 0.9505

100%/x%=0.9505/0.95
(100/x)*x=(0.9505/0.95)*x       - we multiply both sides of the equation by x
100=1.0005263157895*x       - we divide both sides of the equation by (1.0005263157895) to get x
100/1.0005263157895=x
99.947396107312=x
x=99.947396107312

now we have:
0.95 is 99.947396107312% of 0.9505