446.49 is what percent of 642 - 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 642 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 642, so we can write it down as 100%=642.
4. We know, that x% equals 446.49 of the output value, so we can write it down as x%=446.49.
5. Now we have two simple equations:
1) 100%=642
2) x%=446.49
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%=642/446.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.49 is what percent of 642

100%/x%=642/446.49
(100/x)*x=(642/446.49)*x       - we multiply both sides of the equation by x
100=1.4378821474165*x       - we divide both sides of the equation by (1.4378821474165) to get x
100/1.4378821474165=x
69.546728971963=x
x=69.546728971963

now we have:
446.49 is 69.546728971963% of 642