37 is what percent of 2740 - 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 2740 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 2740, so we can write it down as 100%=2740.
4. We know, that x% equals 37 of the output value, so we can write it down as x%=37.
5. Now we have two simple equations:
1) 100%=2740
2) x%=37
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%=2740/37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37 is what percent of 2740

100%/x%=2740/37
(100/x)*x=(2740/37)*x       - we multiply both sides of the equation by x
100=74.054054054054*x       - we divide both sides of the equation by (74.054054054054) to get x
100/74.054054054054=x
1.3503649635036=x
x=1.3503649635036

now we have:
37 is 1.3503649635036% of 2740