350.74 is what percent of 9900 - 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 9900 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 9900, so we can write it down as 100%=9900.
4. We know, that x% equals 350.74 of the output value, so we can write it down as x%=350.74.
5. Now we have two simple equations:
1) 100%=9900
2) x%=350.74
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%=9900/350.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.74 is what percent of 9900

100%/x%=9900/350.74
(100/x)*x=(9900/350.74)*x       - we multiply both sides of the equation by x
100=28.226036380225*x       - we divide both sides of the equation by (28.226036380225) to get x
100/28.226036380225=x
3.5428282828283=x
x=3.5428282828283

now we have:
350.74 is 3.5428282828283% of 9900