494.65 is what percent of 1445 - 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 1445 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 1445, so we can write it down as 100%=1445.
4. We know, that x% equals 494.65 of the output value, so we can write it down as x%=494.65.
5. Now we have two simple equations:
1) 100%=1445
2) x%=494.65
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%=1445/494.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 494.65 is what percent of 1445

100%/x%=1445/494.65
(100/x)*x=(1445/494.65)*x       - we multiply both sides of the equation by x
100=2.921257454766*x       - we divide both sides of the equation by (2.921257454766) to get x
100/2.921257454766=x
34.231833910035=x
x=34.231833910035

now we have:
494.65 is 34.231833910035% of 1445