446.46 is what percent of 357.19 - 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 357.19 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 357.19, so we can write it down as 100%=357.19.
4. We know, that x% equals 446.46 of the output value, so we can write it down as x%=446.46.
5. Now we have two simple equations:
1) 100%=357.19
2) x%=446.46
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%=357.19/446.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 446.46 is what percent of 357.19

100%/x%=357.19/446.46
(100/x)*x=(357.19/446.46)*x       - we multiply both sides of the equation by x
100=0.80004927653093*x       - we divide both sides of the equation by (0.80004927653093) to get x
100/0.80004927653093=x
124.99230101627=x
x=124.99230101627

now we have:
446.46 is 124.99230101627% of 357.19