What is 8.4615384615 percent of 1285 - 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 1285 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 1285 is 100%, so we can write it down as 1285=100%.
4. We know, that x is 8.4615384615% of the output value, so we can write it down as x=8.4615384615%.
5. Now we have two simple equations:
1) 1285=100%
2) x=8.4615384615%
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:
1285/x=100%/8.4615384615%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.4615384615% of 1285

1285/x=100/8.4615384615
(1285/x)*x=(100/8.4615384615)*x       - we multiply both sides of the equation by x
1285=11.818181818236*x       - we divide both sides of the equation by (11.818181818236) to get x
1285/11.818181818236=x
108.73076923028=x
x=108.73076923028

now we have:
8.4615384615% of 1285=108.73076923028