460.78 is what percent of 1000 - 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 1000 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 1000, so we can write it down as 100%=1000.
4. We know, that x% equals 460.78 of the output value, so we can write it down as x%=460.78.
5. Now we have two simple equations:
1) 100%=1000
2) x%=460.78
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%=1000/460.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 460.78 is what percent of 1000

100%/x%=1000/460.78
(100/x)*x=(1000/460.78)*x       - we multiply both sides of the equation by x
100=2.1702330830331*x       - we divide both sides of the equation by (2.1702330830331) to get x
100/2.1702330830331=x
46.078=x
x=46.078

now we have:
460.78 is 46.078% of 1000