455.98 is what percent of 3408.6 - 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 3408.6 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 3408.6, so we can write it down as 100%=3408.6.
4. We know, that x% equals 455.98 of the output value, so we can write it down as x%=455.98.
5. Now we have two simple equations:
1) 100%=3408.6
2) x%=455.98
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%=3408.6/455.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 455.98 is what percent of 3408.6

100%/x%=3408.6/455.98
(100/x)*x=(3408.6/455.98)*x       - we multiply both sides of the equation by x
100=7.4753278652572*x       - we divide both sides of the equation by (7.4753278652572) to get x
100/7.4753278652572=x
13.377339670246=x
x=13.377339670246

now we have:
455.98 is 13.377339670246% of 3408.6