369.34 is what percent of 3917.63 - 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 3917.63 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 3917.63, so we can write it down as 100%=3917.63.
4. We know, that x% equals 369.34 of the output value, so we can write it down as x%=369.34.
5. Now we have two simple equations:
1) 100%=3917.63
2) x%=369.34
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%=3917.63/369.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 369.34 is what percent of 3917.63

100%/x%=3917.63/369.34
(100/x)*x=(3917.63/369.34)*x       - we multiply both sides of the equation by x
100=10.607109979964*x       - we divide both sides of the equation by (10.607109979964) to get x
100/10.607109979964=x
9.427638648877=x
x=9.427638648877

now we have:
369.34 is 9.427638648877% of 3917.63