46.8 is what percent of 355 - 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 355 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 355, so we can write it down as 100%=355.
4. We know, that x% equals 46.8 of the output value, so we can write it down as x%=46.8.
5. Now we have two simple equations:
1) 100%=355
2) x%=46.8
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%=355/46.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.8 is what percent of 355

100%/x%=355/46.8
(100/x)*x=(355/46.8)*x       - we multiply both sides of the equation by x
100=7.5854700854701*x       - we divide both sides of the equation by (7.5854700854701) to get x
100/7.5854700854701=x
13.183098591549=x
x=13.183098591549

now we have:
46.8 is 13.183098591549% of 355