74.68 is what percent of 1648.45 - 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 1648.45 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 1648.45, so we can write it down as 100%=1648.45.
4. We know, that x% equals 74.68 of the output value, so we can write it down as x%=74.68.
5. Now we have two simple equations:
1) 100%=1648.45
2) x%=74.68
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%=1648.45/74.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.68 is what percent of 1648.45

100%/x%=1648.45/74.68
(100/x)*x=(1648.45/74.68)*x       - we multiply both sides of the equation by x
100=22.073513658275*x       - we divide both sides of the equation by (22.073513658275) to get x
100/22.073513658275=x
4.5303163577907=x
x=4.5303163577907

now we have:
74.68 is 4.5303163577907% of 1648.45