1537.5 is what percent of 3740 - 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 3740 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 3740, so we can write it down as 100%=3740.
4. We know, that x% equals 1537.5 of the output value, so we can write it down as x%=1537.5.
5. Now we have two simple equations:
1) 100%=3740
2) x%=1537.5
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%=3740/1537.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1537.5 is what percent of 3740

100%/x%=3740/1537.5
(100/x)*x=(3740/1537.5)*x       - we multiply both sides of the equation by x
100=2.4325203252033*x       - we divide both sides of the equation by (2.4325203252033) to get x
100/2.4325203252033=x
41.109625668449=x
x=41.109625668449

now we have:
1537.5 is 41.109625668449% of 3740