445.5 is what percent of 890 - 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 890 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 890, so we can write it down as 100%=890.
4. We know, that x% equals 445.5 of the output value, so we can write it down as x%=445.5.
5. Now we have two simple equations:
1) 100%=890
2) x%=445.5
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%=890/445.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 445.5 is what percent of 890

100%/x%=890/445.5
(100/x)*x=(890/445.5)*x       - we multiply both sides of the equation by x
100=1.9977553310887*x       - we divide both sides of the equation by (1.9977553310887) to get x
100/1.9977553310887=x
50.056179775281=x
x=50.056179775281

now we have:
445.5 is 50.056179775281% of 890