1736.88 is what percent of 37489.8 - 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 37489.8 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 37489.8, so we can write it down as 100%=37489.8.
4. We know, that x% equals 1736.88 of the output value, so we can write it down as x%=1736.88.
5. Now we have two simple equations:
1) 100%=37489.8
2) x%=1736.88
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%=37489.8/1736.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1736.88 is what percent of 37489.8

100%/x%=37489.8/1736.88
(100/x)*x=(37489.8/1736.88)*x       - we multiply both sides of the equation by x
100=21.584565427663*x       - we divide both sides of the equation by (21.584565427663) to get x
100/21.584565427663=x
4.6329401597234=x
x=4.6329401597234

now we have:
1736.88 is 4.6329401597234% of 37489.8