85 is what percent of 12705 - 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 12705 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 12705, so we can write it down as 100%=12705.
4. We know, that x% equals 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=12705
2) x%=85
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%=12705/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 12705

100%/x%=12705/85
(100/x)*x=(12705/85)*x       - we multiply both sides of the equation by x
100=149.47058823529*x       - we divide both sides of the equation by (149.47058823529) to get x
100/149.47058823529=x
0.66902794175521=x
x=0.66902794175521

now we have:
85 is 0.66902794175521% of 12705