791.36 is what percent of 997.48 - 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 997.48 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 997.48, so we can write it down as 100%=997.48.
4. We know, that x% equals 791.36 of the output value, so we can write it down as x%=791.36.
5. Now we have two simple equations:
1) 100%=997.48
2) x%=791.36
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%=997.48/791.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 791.36 is what percent of 997.48

100%/x%=997.48/791.36
(100/x)*x=(997.48/791.36)*x       - we multiply both sides of the equation by x
100=1.2604630004044*x       - we divide both sides of the equation by (1.2604630004044) to get x
100/1.2604630004044=x
79.335926534868=x
x=79.335926534868

now we have:
791.36 is 79.335926534868% of 997.48