355.8 is what percent of 449.88 - 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 449.88 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 449.88, so we can write it down as 100%=449.88.
4. We know, that x% equals 355.8 of the output value, so we can write it down as x%=355.8.
5. Now we have two simple equations:
1) 100%=449.88
2) x%=355.8
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%=449.88/355.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 355.8 is what percent of 449.88

100%/x%=449.88/355.8
(100/x)*x=(449.88/355.8)*x       - we multiply both sides of the equation by x
100=1.2644182124789*x       - we divide both sides of the equation by (1.2644182124789) to get x
100/1.2644182124789=x
79.087756735129=x
x=79.087756735129

now we have:
355.8 is 79.087756735129% of 449.88