446.4 is what percent of 512.9 - 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 512.9 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 512.9, so we can write it down as 100%=512.9.
4. We know, that x% equals 446.4 of the output value, so we can write it down as x%=446.4.
5. Now we have two simple equations:
1) 100%=512.9
2) x%=446.4
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%=512.9/446.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.4 is what percent of 512.9

100%/x%=512.9/446.4
(100/x)*x=(512.9/446.4)*x       - we multiply both sides of the equation by x
100=1.1489695340502*x       - we divide both sides of the equation by (1.1489695340502) to get x
100/1.1489695340502=x
87.034509651004=x
x=87.034509651004

now we have:
446.4 is 87.034509651004% of 512.9