28.04 is what percent of 1146.74 - 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 1146.74 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 1146.74, so we can write it down as 100%=1146.74.
4. We know, that x% equals 28.04 of the output value, so we can write it down as x%=28.04.
5. Now we have two simple equations:
1) 100%=1146.74
2) x%=28.04
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%=1146.74/28.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.04 is what percent of 1146.74

100%/x%=1146.74/28.04
(100/x)*x=(1146.74/28.04)*x       - we multiply both sides of the equation by x
100=40.896576319544*x       - we divide both sides of the equation by (40.896576319544) to get x
100/40.896576319544=x
2.4451924586218=x
x=2.4451924586218

now we have:
28.04 is 2.4451924586218% of 1146.74