What is 90.5 percent of 382 - 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 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 is 100%, so we can write it down as 382=100%.
4. We know, that x is 90.5% of the output value, so we can write it down as x=90.5%.
5. Now we have two simple equations:
1) 382=100%
2) x=90.5%
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/x=100%/90.5%
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 90.5% of 382

382/x=100/90.5
(382/x)*x=(100/90.5)*x       - we multiply both sides of the equation by x
382=1.1049723756906*x       - we divide both sides of the equation by (1.1049723756906) to get x
382/1.1049723756906=x
345.71=x
x=345.71

now we have:
90.5% of 382=345.71