6.64 is what percent of 10.63 - 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 10.63 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 10.63, so we can write it down as 100%=10.63.
4. We know, that x% equals 6.64 of the output value, so we can write it down as x%=6.64.
5. Now we have two simple equations:
1) 100%=10.63
2) x%=6.64
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%=10.63/6.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.64 is what percent of 10.63

100%/x%=10.63/6.64
(100/x)*x=(10.63/6.64)*x       - we multiply both sides of the equation by x
100=1.6009036144578*x       - we divide both sides of the equation by (1.6009036144578) to get x
100/1.6009036144578=x
62.464722483537=x
x=62.464722483537

now we have:
6.64 is 62.464722483537% of 10.63