634.44 is what percent of 7777.66 - 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 7777.66 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 7777.66, so we can write it down as 100%=7777.66.
4. We know, that x% equals 634.44 of the output value, so we can write it down as x%=634.44.
5. Now we have two simple equations:
1) 100%=7777.66
2) x%=634.44
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%=7777.66/634.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 634.44 is what percent of 7777.66

100%/x%=7777.66/634.44
(100/x)*x=(7777.66/634.44)*x       - we multiply both sides of the equation by x
100=12.259094634638*x       - we divide both sides of the equation by (12.259094634638) to get x
100/12.259094634638=x
8.1572092377399=x
x=8.1572092377399

now we have:
634.44 is 8.1572092377399% of 7777.66