6 is what percent of 1023 - 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 1023 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 1023, so we can write it down as 100%=1023.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=1023
2) x%=6
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%=1023/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 1023

100%/x%=1023/6
(100/x)*x=(1023/6)*x       - we multiply both sides of the equation by x
100=170.5*x       - we divide both sides of the equation by (170.5) to get x
100/170.5=x
0.58651026392962=x
x=0.58651026392962

now we have:
6 is 0.58651026392962% of 1023