697.64 is what percent of 712.24 - 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 712.24 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 712.24, so we can write it down as 100%=712.24.
4. We know, that x% equals 697.64 of the output value, so we can write it down as x%=697.64.
5. Now we have two simple equations:
1) 100%=712.24
2) x%=697.64
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%=712.24/697.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 697.64 is what percent of 712.24

100%/x%=712.24/697.64
(100/x)*x=(712.24/697.64)*x       - we multiply both sides of the equation by x
100=1.0209276990998*x       - we divide both sides of the equation by (1.0209276990998) to get x
100/1.0209276990998=x
97.950129169943=x
x=97.950129169943

now we have:
697.64 is 97.950129169943% of 712.24