80.14 is what percent of 641.14 - 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 641.14 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 641.14, so we can write it down as 100%=641.14.
4. We know, that x% equals 80.14 of the output value, so we can write it down as x%=80.14.
5. Now we have two simple equations:
1) 100%=641.14
2) x%=80.14
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%=641.14/80.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.14 is what percent of 641.14

100%/x%=641.14/80.14
(100/x)*x=(641.14/80.14)*x       - we multiply both sides of the equation by x
100=8.0002495632643*x       - we divide both sides of the equation by (8.0002495632643) to get x
100/8.0002495632643=x
12.499610069564=x
x=12.499610069564

now we have:
80.14 is 12.499610069564% of 641.14