458.75 is what percent of 45000 - 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 45000 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 45000, so we can write it down as 100%=45000.
4. We know, that x% equals 458.75 of the output value, so we can write it down as x%=458.75.
5. Now we have two simple equations:
1) 100%=45000
2) x%=458.75
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%=45000/458.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 458.75 is what percent of 45000

100%/x%=45000/458.75
(100/x)*x=(45000/458.75)*x       - we multiply both sides of the equation by x
100=98.092643051771*x       - we divide both sides of the equation by (98.092643051771) to get x
100/98.092643051771=x
1.0194444444444=x
x=1.0194444444444

now we have:
458.75 is 1.0194444444444% of 45000