6.54 is what percent of 10.656 - 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 10.656 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 10.656, so we can write it down as 100%=10.656.
4. We know, that x% equals 6.54 of the output value, so we can write it down as x%=6.54.
5. Now we have two simple equations:
1) 100%=10.656
2) x%=6.54
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%=10.656/6.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.54 is what percent of 10.656

100%/x%=10.656/6.54
(100/x)*x=(10.656/6.54)*x       - we multiply both sides of the equation by x
100=1.6293577981651*x       - we divide both sides of the equation by (1.6293577981651) to get x
100/1.6293577981651=x
61.373873873874=x
x=61.373873873874

now we have:
6.54 is 61.373873873874% of 10.656