78.96 is what percent of 2522.71 - 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 2522.71 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 2522.71, so we can write it down as 100%=2522.71.
4. We know, that x% equals 78.96 of the output value, so we can write it down as x%=78.96.
5. Now we have two simple equations:
1) 100%=2522.71
2) x%=78.96
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%=2522.71/78.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.96 is what percent of 2522.71

100%/x%=2522.71/78.96
(100/x)*x=(2522.71/78.96)*x       - we multiply both sides of the equation by x
100=31.9492147923*x       - we divide both sides of the equation by (31.9492147923) to get x
100/31.9492147923=x
3.1299673763532=x
x=3.1299673763532

now we have:
78.96 is 3.1299673763532% of 2522.71