74 is what percent of 183.52 - 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 183.52 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 183.52, so we can write it down as 100%=183.52.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=183.52
2) x%=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%=183.52/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 183.52

100%/x%=183.52/74
(100/x)*x=(183.52/74)*x       - we multiply both sides of the equation by x
100=2.48*x       - we divide both sides of the equation by (2.48) to get x
100/2.48=x
40.322580645161=x
x=40.322580645161

now we have:
74 is 40.322580645161% of 183.52