6.43 is what percent of 600 - 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 600 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 600, so we can write it down as 100%=600.
4. We know, that x% equals 6.43 of the output value, so we can write it down as x%=6.43.
5. Now we have two simple equations:
1) 100%=600
2) x%=6.43
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%=600/6.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.43 is what percent of 600

100%/x%=600/6.43
(100/x)*x=(600/6.43)*x       - we multiply both sides of the equation by x
100=93.312597200622*x       - we divide both sides of the equation by (93.312597200622) to get x
100/93.312597200622=x
1.0716666666667=x
x=1.0716666666667

now we have:
6.43 is 1.0716666666667% of 600