What is 90 percent of 382.8 - 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 382.8 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 382.8 is 100%, so we can write it down as 382.8=100%.
4. We know, that x is 90% of the output value, so we can write it down as x=90%.
5. Now we have two simple equations:
1) 382.8=100%
2) x=90%
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:
382.8/x=100%/90%
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% of 382.8

382.8/x=100/90
(382.8/x)*x=(100/90)*x       - we multiply both sides of the equation by x
382.8=1.11111111111*x       - we divide both sides of the equation by (1.11111111111) to get x
382.8/1.11111111111=x
344.52=x
x=344.52

now we have:
90% of 382.8=344.52