6.41 is what percent of 9.87 - 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 9.87 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 9.87, so we can write it down as 100%=9.87.
4. We know, that x% equals 6.41 of the output value, so we can write it down as x%=6.41.
5. Now we have two simple equations:
1) 100%=9.87
2) x%=6.41
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%=9.87/6.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.41 is what percent of 9.87

100%/x%=9.87/6.41
(100/x)*x=(9.87/6.41)*x       - we multiply both sides of the equation by x
100=1.5397815912637*x       - we divide both sides of the equation by (1.5397815912637) to get x
100/1.5397815912637=x
64.944275582573=x
x=64.944275582573

now we have:
6.41 is 64.944275582573% of 9.87