37.57 is what percent of 244.65 - 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 244.65 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 244.65, so we can write it down as 100%=244.65.
4. We know, that x% equals 37.57 of the output value, so we can write it down as x%=37.57.
5. Now we have two simple equations:
1) 100%=244.65
2) x%=37.57
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%=244.65/37.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.57 is what percent of 244.65

100%/x%=244.65/37.57
(100/x)*x=(244.65/37.57)*x       - we multiply both sides of the equation by x
100=6.5118445568273*x       - we divide both sides of the equation by (6.5118445568273) to get x
100/6.5118445568273=x
15.356631923156=x
x=15.356631923156

now we have:
37.57 is 15.356631923156% of 244.65