0.95 is what percent of 10.83 - 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 10.83 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 10.83, so we can write it down as 100%=10.83.
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%=10.83
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%=10.83/0.95
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 10.83

100%/x%=10.83/0.95
(100/x)*x=(10.83/0.95)*x       - we multiply both sides of the equation by x
100=11.4*x       - we divide both sides of the equation by (11.4) to get x
100/11.4=x
8.7719298245614=x
x=8.7719298245614

now we have:
0.95 is 8.7719298245614% of 10.83