0.84919786096 is what percent of 1 - 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 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, so we can write it down as 100%=1.
4. We know, that x% equals 0.84919786096 of the output value, so we can write it down as x%=0.84919786096.
5. Now we have two simple equations:
1) 100%=1
2) x%=0.84919786096
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%=1/0.84919786096
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.84919786096 is what percent of 1

100%/x%=1/0.84919786096
(100/x)*x=(1/0.84919786096)*x       - we multiply both sides of the equation by x
100=1.1775818639834*x       - we divide both sides of the equation by (1.1775818639834) to get x
100/1.1775818639834=x
84.919786096=x
x=84.919786096

now we have:
0.84919786096 is 84.919786096% of 1