46.84 is what percent of 1323 - 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 1323 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 1323, so we can write it down as 100%=1323.
4. We know, that x% equals 46.84 of the output value, so we can write it down as x%=46.84.
5. Now we have two simple equations:
1) 100%=1323
2) x%=46.84
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%=1323/46.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.84 is what percent of 1323

100%/x%=1323/46.84
(100/x)*x=(1323/46.84)*x       - we multiply both sides of the equation by x
100=28.245089666951*x       - we divide both sides of the equation by (28.245089666951) to get x
100/28.245089666951=x
3.5404383975813=x
x=3.5404383975813

now we have:
46.84 is 3.5404383975813% of 1323