6 is what percent of 445 - 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 445 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 445, so we can write it down as 100%=445.
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%=445
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%=445/6
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 445

100%/x%=445/6
(100/x)*x=(445/6)*x       - we multiply both sides of the equation by x
100=74.166666666667*x       - we divide both sides of the equation by (74.166666666667) to get x
100/74.166666666667=x
1.3483146067416=x
x=1.3483146067416

now we have:
6 is 1.3483146067416% of 445