642.86 is what percent of 6000 - 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 6000 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 6000, so we can write it down as 100%=6000.
4. We know, that x% equals 642.86 of the output value, so we can write it down as x%=642.86.
5. Now we have two simple equations:
1) 100%=6000
2) x%=642.86
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%=6000/642.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 642.86 is what percent of 6000

100%/x%=6000/642.86
(100/x)*x=(6000/642.86)*x       - we multiply both sides of the equation by x
100=9.3332918520362*x       - we divide both sides of the equation by (9.3332918520362) to get x
100/9.3332918520362=x
10.714333333333=x
x=10.714333333333

now we have:
642.86 is 10.714333333333% of 6000