6386.09 is what percent of 63.86 - 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 63.86 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 63.86, so we can write it down as 100%=63.86.
4. We know, that x% equals 6386.09 of the output value, so we can write it down as x%=6386.09.
5. Now we have two simple equations:
1) 100%=63.86
2) x%=6386.09
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%=63.86/6386.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6386.09 is what percent of 63.86

100%/x%=63.86/6386.09
(100/x)*x=(63.86/6386.09)*x       - we multiply both sides of the equation by x
100=0.0099998590686946*x       - we divide both sides of the equation by (0.0099998590686946) to get x
100/0.0099998590686946=x
10000.140933292=x
x=10000.140933292

now we have:
6386.09 is 10000.140933292% of 63.86