320.25 is what percent of 414 - 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 414 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 414, so we can write it down as 100%=414.
4. We know, that x% equals 320.25 of the output value, so we can write it down as x%=320.25.
5. Now we have two simple equations:
1) 100%=414
2) x%=320.25
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%=414/320.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 320.25 is what percent of 414

100%/x%=414/320.25
(100/x)*x=(414/320.25)*x       - we multiply both sides of the equation by x
100=1.2927400468384*x       - we divide both sides of the equation by (1.2927400468384) to get x
100/1.2927400468384=x
77.355072463768=x
x=77.355072463768

now we have:
320.25 is 77.355072463768% of 414