4638.2 is what percent of 10300 - 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 10300 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 10300, so we can write it down as 100%=10300.
4. We know, that x% equals 4638.2 of the output value, so we can write it down as x%=4638.2.
5. Now we have two simple equations:
1) 100%=10300
2) x%=4638.2
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%=10300/4638.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4638.2 is what percent of 10300

100%/x%=10300/4638.2
(100/x)*x=(10300/4638.2)*x       - we multiply both sides of the equation by x
100=2.2206890604114*x       - we divide both sides of the equation by (2.2206890604114) to get x
100/2.2206890604114=x
45.031067961165=x
x=45.031067961165

now we have:
4638.2 is 45.031067961165% of 10300