What is 42.857142857143 percent of 869.57 - 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 869.57 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 869.57 is 100%, so we can write it down as 869.57=100%.
4. We know, that x is 42.857142857143% of the output value, so we can write it down as x=42.857142857143%.
5. Now we have two simple equations:
1) 869.57=100%
2) x=42.857142857143%
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:
869.57/x=100%/42.857142857143%
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 42.857142857143% of 869.57

869.57/x=100/42.857142857143
(869.57/x)*x=(100/42.857142857143)*x       - we multiply both sides of the equation by x
869.57=2.3333333333333*x       - we divide both sides of the equation by (2.3333333333333) to get x
869.57/2.3333333333333=x
372.67285714286=x
x=372.67285714286

now we have:
42.857142857143% of 869.57=372.67285714286