414.6 is what percent of 457.8 - 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 457.8 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 457.8, so we can write it down as 100%=457.8.
4. We know, that x% equals 414.6 of the output value, so we can write it down as x%=414.6.
5. Now we have two simple equations:
1) 100%=457.8
2) x%=414.6
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%=457.8/414.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 414.6 is what percent of 457.8

100%/x%=457.8/414.6
(100/x)*x=(457.8/414.6)*x       - we multiply both sides of the equation by x
100=1.1041968162084*x       - we divide both sides of the equation by (1.1041968162084) to get x
100/1.1041968162084=x
90.563564875491=x
x=90.563564875491

now we have:
414.6 is 90.563564875491% of 457.8