What is 2.35 percent of 382.5 - 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 382.5 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 382.5 is 100%, so we can write it down as 382.5=100%.
4. We know, that x is 2.35% of the output value, so we can write it down as x=2.35%.
5. Now we have two simple equations:
1) 382.5=100%
2) x=2.35%
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:
382.5/x=100%/2.35%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 2.35% of 382.5

382.5/x=100/2.35
(382.5/x)*x=(100/2.35)*x       - we multiply both sides of the equation by x
382.5=42.553191489362*x       - we divide both sides of the equation by (42.553191489362) to get x
382.5/42.553191489362=x
8.98875=x
x=8.98875

now we have:
2.35% of 382.5=8.98875