38.96 is what percent of 451 - 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 451 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 451, so we can write it down as 100%=451.
4. We know, that x% equals 38.96 of the output value, so we can write it down as x%=38.96.
5. Now we have two simple equations:
1) 100%=451
2) x%=38.96
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%=451/38.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.96 is what percent of 451

100%/x%=451/38.96
(100/x)*x=(451/38.96)*x       - we multiply both sides of the equation by x
100=11.575975359343*x       - we divide both sides of the equation by (11.575975359343) to get x
100/11.575975359343=x
8.6385809312639=x
x=8.6385809312639

now we have:
38.96 is 8.6385809312639% of 451