72.95 is what percent of 3734.75 - 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 3734.75 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 3734.75, so we can write it down as 100%=3734.75.
4. We know, that x% equals 72.95 of the output value, so we can write it down as x%=72.95.
5. Now we have two simple equations:
1) 100%=3734.75
2) x%=72.95
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%=3734.75/72.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.95 is what percent of 3734.75

100%/x%=3734.75/72.95
(100/x)*x=(3734.75/72.95)*x       - we multiply both sides of the equation by x
100=51.196024674435*x       - we divide both sides of the equation by (51.196024674435) to get x
100/51.196024674435=x
1.9532766584109=x
x=1.9532766584109

now we have:
72.95 is 1.9532766584109% of 3734.75