2002.74 is what percent of 4500 - 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 4500 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 4500, so we can write it down as 100%=4500.
4. We know, that x% equals 2002.74 of the output value, so we can write it down as x%=2002.74.
5. Now we have two simple equations:
1) 100%=4500
2) x%=2002.74
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%=4500/2002.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2002.74 is what percent of 4500

100%/x%=4500/2002.74
(100/x)*x=(4500/2002.74)*x       - we multiply both sides of the equation by x
100=2.2469217172474*x       - we divide both sides of the equation by (2.2469217172474) to get x
100/2.2469217172474=x
44.505333333333=x
x=44.505333333333

now we have:
2002.74 is 44.505333333333% of 4500