3.53 is what percent of 46.99 - 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 46.99 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 46.99, so we can write it down as 100%=46.99.
4. We know, that x% equals 3.53 of the output value, so we can write it down as x%=3.53.
5. Now we have two simple equations:
1) 100%=46.99
2) x%=3.53
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%=46.99/3.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.53 is what percent of 46.99

100%/x%=46.99/3.53
(100/x)*x=(46.99/3.53)*x       - we multiply both sides of the equation by x
100=13.311614730878*x       - we divide both sides of the equation by (13.311614730878) to get x
100/13.311614730878=x
7.5122366460949=x
x=7.5122366460949

now we have:
3.53 is 7.5122366460949% of 46.99