400.75 is what percent of 512.96 - 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 512.96 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 512.96, so we can write it down as 100%=512.96.
4. We know, that x% equals 400.75 of the output value, so we can write it down as x%=400.75.
5. Now we have two simple equations:
1) 100%=512.96
2) x%=400.75
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%=512.96/400.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 400.75 is what percent of 512.96

100%/x%=512.96/400.75
(100/x)*x=(512.96/400.75)*x       - we multiply both sides of the equation by x
100=1.28*x       - we divide both sides of the equation by (1.28) to get x
100/1.28=x
78.125=x
x=78.125

now we have:
400.75 is 78.125% of 512.96