80 is what percent of 79.94 - 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 79.94 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 79.94, so we can write it down as 100%=79.94.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=79.94
2) x%=80
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%=79.94/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 79.94

100%/x%=79.94/80
(100/x)*x=(79.94/80)*x       - we multiply both sides of the equation by x
100=0.99925*x       - we divide both sides of the equation by (0.99925) to get x
100/0.99925=x
100.07505629222=x
x=100.07505629222

now we have:
80 is 100.07505629222% of 79.94