3384.49 is what percent of 35360.96 - 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 35360.96 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 35360.96, so we can write it down as 100%=35360.96.
4. We know, that x% equals 3384.49 of the output value, so we can write it down as x%=3384.49.
5. Now we have two simple equations:
1) 100%=35360.96
2) x%=3384.49
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%=35360.96/3384.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3384.49 is what percent of 35360.96

100%/x%=35360.96/3384.49
(100/x)*x=(35360.96/3384.49)*x       - we multiply both sides of the equation by x
100=10.447943412449*x       - we divide both sides of the equation by (10.447943412449) to get x
100/10.447943412449=x
9.5712616399555=x
x=9.5712616399555

now we have:
3384.49 is 9.5712616399555% of 35360.96