78.8 is what percent of 1312.02 - 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 1312.02 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 1312.02, so we can write it down as 100%=1312.02.
4. We know, that x% equals 78.8 of the output value, so we can write it down as x%=78.8.
5. Now we have two simple equations:
1) 100%=1312.02
2) x%=78.8
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%=1312.02/78.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 78.8 is what percent of 1312.02

100%/x%=1312.02/78.8
(100/x)*x=(1312.02/78.8)*x       - we multiply both sides of the equation by x
100=16.65*x       - we divide both sides of the equation by (16.65) to get x
100/16.65=x
6.006006006006=x
x=6.006006006006

now we have:
78.8 is 6.006006006006% of 1312.02