95 is what percent of 1.085 - 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 1.085 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 1.085, so we can write it down as 100%=1.085.
4. We know, that x% equals 95 of the output value, so we can write it down as x%=95.
5. Now we have two simple equations:
1) 100%=1.085
2) x%=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%=1.085/95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95 is what percent of 1.085

100%/x%=1.085/95
(100/x)*x=(1.085/95)*x       - we multiply both sides of the equation by x
100=0.011421052631579*x       - we divide both sides of the equation by (0.011421052631579) to get x
100/0.011421052631579=x
8755.7603686636=x
x=8755.7603686636

now we have:
95 is 8755.7603686636% of 1.085