388.25 is what percent of 697.5 - 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 697.5 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 697.5, so we can write it down as 100%=697.5.
4. We know, that x% equals 388.25 of the output value, so we can write it down as x%=388.25.
5. Now we have two simple equations:
1) 100%=697.5
2) x%=388.25
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%=697.5/388.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 388.25 is what percent of 697.5

100%/x%=697.5/388.25
(100/x)*x=(697.5/388.25)*x       - we multiply both sides of the equation by x
100=1.7965228589826*x       - we divide both sides of the equation by (1.7965228589826) to get x
100/1.7965228589826=x
55.663082437276=x
x=55.663082437276

now we have:
388.25 is 55.663082437276% of 697.5