3349.98 is what percent of 9462.71 - 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 9462.71 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 9462.71, so we can write it down as 100%=9462.71.
4. We know, that x% equals 3349.98 of the output value, so we can write it down as x%=3349.98.
5. Now we have two simple equations:
1) 100%=9462.71
2) x%=3349.98
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%=9462.71/3349.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3349.98 is what percent of 9462.71

100%/x%=9462.71/3349.98
(100/x)*x=(9462.71/3349.98)*x       - we multiply both sides of the equation by x
100=2.8247064161577*x       - we divide both sides of the equation by (2.8247064161577) to get x
100/2.8247064161577=x
35.401909178238=x
x=35.401909178238

now we have:
3349.98 is 35.401909178238% of 9462.71