30.18 is what percent of 450 - 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 450 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 450, so we can write it down as 100%=450.
4. We know, that x% equals 30.18 of the output value, so we can write it down as x%=30.18.
5. Now we have two simple equations:
1) 100%=450
2) x%=30.18
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%=450/30.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.18 is what percent of 450

100%/x%=450/30.18
(100/x)*x=(450/30.18)*x       - we multiply both sides of the equation by x
100=14.910536779324*x       - we divide both sides of the equation by (14.910536779324) to get x
100/14.910536779324=x
6.7066666666667=x
x=6.7066666666667

now we have:
30.18 is 6.7066666666667% of 450