6.35 is what percent of 76.91 - 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 76.91 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 76.91, so we can write it down as 100%=76.91.
4. We know, that x% equals 6.35 of the output value, so we can write it down as x%=6.35.
5. Now we have two simple equations:
1) 100%=76.91
2) x%=6.35
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%=76.91/6.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.35 is what percent of 76.91

100%/x%=76.91/6.35
(100/x)*x=(76.91/6.35)*x       - we multiply both sides of the equation by x
100=12.111811023622*x       - we divide both sides of the equation by (12.111811023622) to get x
100/12.111811023622=x
8.2564035886101=x
x=8.2564035886101

now we have:
6.35 is 8.2564035886101% of 76.91