31.2 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 31.2 of the output value, so we can write it down as x%=31.2.
5. Now we have two simple equations:
1) 100%=450
2) x%=31.2
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%=450/31.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.2 is what percent of 450

100%/x%=450/31.2
(100/x)*x=(450/31.2)*x       - we multiply both sides of the equation by x
100=14.423076923077*x       - we divide both sides of the equation by (14.423076923077) to get x
100/14.423076923077=x
6.9333333333333=x
x=6.9333333333333

now we have:
31.2 is 6.9333333333333% of 450