0.5625 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 0.5625 of the output value, so we can write it down as x%=0.5625.
5. Now we have two simple equations:
1) 100%=6
2) x%=0.5625
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%=6/0.5625
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.5625 is what percent of 6

100%/x%=6/0.5625
(100/x)*x=(6/0.5625)*x       - we multiply both sides of the equation by x
100=10.666666666667*x       - we divide both sides of the equation by (10.666666666667) to get x
100/10.666666666667=x
9.375=x
x=9.375

now we have:
0.5625 is 9.375% of 6