375.8 is what percent of 10284.8 - 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 10284.8 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 10284.8, so we can write it down as 100%=10284.8.
4. We know, that x% equals 375.8 of the output value, so we can write it down as x%=375.8.
5. Now we have two simple equations:
1) 100%=10284.8
2) x%=375.8
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%=10284.8/375.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.8 is what percent of 10284.8

100%/x%=10284.8/375.8
(100/x)*x=(10284.8/375.8)*x       - we multiply both sides of the equation by x
100=27.367748802555*x       - we divide both sides of the equation by (27.367748802555) to get x
100/27.367748802555=x
3.6539359054138=x
x=3.6539359054138

now we have:
375.8 is 3.6539359054138% of 10284.8