446.8 is what percent of 637 - 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 637 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 637, so we can write it down as 100%=637.
4. We know, that x% equals 446.8 of the output value, so we can write it down as x%=446.8.
5. Now we have two simple equations:
1) 100%=637
2) x%=446.8
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%=637/446.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.8 is what percent of 637

100%/x%=637/446.8
(100/x)*x=(637/446.8)*x       - we multiply both sides of the equation by x
100=1.4256938227395*x       - we divide both sides of the equation by (1.4256938227395) to get x
100/1.4256938227395=x
70.141287284144=x
x=70.141287284144

now we have:
446.8 is 70.141287284144% of 637