38.75 is what percent of 457.87 - 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 457.87 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 457.87, so we can write it down as 100%=457.87.
4. We know, that x% equals 38.75 of the output value, so we can write it down as x%=38.75.
5. Now we have two simple equations:
1) 100%=457.87
2) x%=38.75
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%=457.87/38.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.75 is what percent of 457.87

100%/x%=457.87/38.75
(100/x)*x=(457.87/38.75)*x       - we multiply both sides of the equation by x
100=11.816*x       - we divide both sides of the equation by (11.816) to get x
100/11.816=x
8.4631008801625=x
x=8.4631008801625

now we have:
38.75 is 8.4631008801625% of 457.87