What is 0.042857142857143 percent of 98.9 - 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 98.9 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 98.9 is 100%, so we can write it down as 98.9=100%.
4. We know, that x is 0.042857142857143% of the output value, so we can write it down as x=0.042857142857143%.
5. Now we have two simple equations:
1) 98.9=100%
2) x=0.042857142857143%
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:
98.9/x=100%/0.042857142857143%
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 0.042857142857143% of 98.9

98.9/x=100/0.042857142857143
(98.9/x)*x=(100/0.042857142857143)*x       - we multiply both sides of the equation by x
98.9=2333.3333333333*x       - we divide both sides of the equation by (2333.3333333333) to get x
98.9/2333.3333333333=x
0.042385714285714=x
x=0.042385714285714

now we have:
0.042857142857143% of 98.9=0.042385714285714