701.75 is what percent of 720 - 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 720 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 720, so we can write it down as 100%=720.
4. We know, that x% equals 701.75 of the output value, so we can write it down as x%=701.75.
5. Now we have two simple equations:
1) 100%=720
2) x%=701.75
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%=720/701.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 701.75 is what percent of 720

100%/x%=720/701.75
(100/x)*x=(720/701.75)*x       - we multiply both sides of the equation by x
100=1.0260064125401*x       - we divide both sides of the equation by (1.0260064125401) to get x
100/1.0260064125401=x
97.465277777778=x
x=97.465277777778

now we have:
701.75 is 97.465277777778% of 720