684.05 is what percent of 3700 - 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 3700 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 3700, so we can write it down as 100%=3700.
4. We know, that x% equals 684.05 of the output value, so we can write it down as x%=684.05.
5. Now we have two simple equations:
1) 100%=3700
2) x%=684.05
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%=3700/684.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 684.05 is what percent of 3700

100%/x%=3700/684.05
(100/x)*x=(3700/684.05)*x       - we multiply both sides of the equation by x
100=5.4089613332359*x       - we divide both sides of the equation by (5.4089613332359) to get x
100/5.4089613332359=x
18.487837837838=x
x=18.487837837838

now we have:
684.05 is 18.487837837838% of 3700