28.4 is what percent of 450.875 - 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 450.875 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 450.875, so we can write it down as 100%=450.875.
4. We know, that x% equals 28.4 of the output value, so we can write it down as x%=28.4.
5. Now we have two simple equations:
1) 100%=450.875
2) x%=28.4
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%=450.875/28.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.4 is what percent of 450.875

100%/x%=450.875/28.4
(100/x)*x=(450.875/28.4)*x       - we multiply both sides of the equation by x
100=15.8758802817*x       - we divide both sides of the equation by (15.8758802817) to get x
100/15.8758802817=x
6.29886332132=x
x=6.29886332132

now we have:
28.4 is 6.29886332132% of 450.875