397.5 is what percent of 400 - 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 400 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 400, so we can write it down as 100%=400.
4. We know, that x% equals 397.5 of the output value, so we can write it down as x%=397.5.
5. Now we have two simple equations:
1) 100%=400
2) x%=397.5
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%=400/397.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 397.5 is what percent of 400

100%/x%=400/397.5
(100/x)*x=(400/397.5)*x       - we multiply both sides of the equation by x
100=1.0062893081761*x       - we divide both sides of the equation by (1.0062893081761) to get x
100/1.0062893081761=x
99.375=x
x=99.375

now we have:
397.5 is 99.375% of 400