What is 2.57142857143 percent of 7000 - 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 7000 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 7000 is 100%, so we can write it down as 7000=100%.
4. We know, that x is 2.57142857143% of the output value, so we can write it down as x=2.57142857143%.
5. Now we have two simple equations:
1) 7000=100%
2) x=2.57142857143%
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:
7000/x=100%/2.57142857143%
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 2.57142857143% of 7000

7000/x=100/2.57142857143
(7000/x)*x=(100/2.57142857143)*x       - we multiply both sides of the equation by x
7000=38.888888888867*x       - we divide both sides of the equation by (38.888888888867) to get x
7000/38.888888888867=x
180.0000000001=x
x=180.0000000001

now we have:
2.57142857143% of 7000=180.0000000001