142.86 is what percent of 8000 - 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 8000 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 8000, so we can write it down as 100%=8000.
4. We know, that x% equals 142.86 of the output value, so we can write it down as x%=142.86.
5. Now we have two simple equations:
1) 100%=8000
2) x%=142.86
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%=8000/142.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.86 is what percent of 8000

100%/x%=8000/142.86
(100/x)*x=(8000/142.86)*x       - we multiply both sides of the equation by x
100=55.9988800224*x       - we divide both sides of the equation by (55.9988800224) to get x
100/55.9988800224=x
1.78575=x
x=1.78575

now we have:
142.86 is 1.78575% of 8000