385.72 is what percent of 4865.45 - 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 4865.45 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 4865.45, so we can write it down as 100%=4865.45.
4. We know, that x% equals 385.72 of the output value, so we can write it down as x%=385.72.
5. Now we have two simple equations:
1) 100%=4865.45
2) x%=385.72
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%=4865.45/385.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 385.72 is what percent of 4865.45

100%/x%=4865.45/385.72
(100/x)*x=(4865.45/385.72)*x       - we multiply both sides of the equation by x
100=12.613942756404*x       - we divide both sides of the equation by (12.613942756404) to get x
100/12.613942756404=x
7.9277353584972=x
x=7.9277353584972

now we have:
385.72 is 7.9277353584972% of 4865.45