450.13 is what percent of 3221.5 - 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 3221.5 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 3221.5, so we can write it down as 100%=3221.5.
4. We know, that x% equals 450.13 of the output value, so we can write it down as x%=450.13.
5. Now we have two simple equations:
1) 100%=3221.5
2) x%=450.13
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%=3221.5/450.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 450.13 is what percent of 3221.5

100%/x%=3221.5/450.13
(100/x)*x=(3221.5/450.13)*x       - we multiply both sides of the equation by x
100=7.1568213627174*x       - we divide both sides of the equation by (7.1568213627174) to get x
100/7.1568213627174=x
13.972683532516=x
x=13.972683532516

now we have:
450.13 is 13.972683532516% of 3221.5