What is 116 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 116% of the output value, so we can write it down as x=116%.
5. Now we have two simple equations:
1) 382=100%
2) x=116%
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%/116%
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 116% of 382

382/x=100/116
(382/x)*x=(100/116)*x       - we multiply both sides of the equation by x
382=0.86206896551724*x       - we divide both sides of the equation by (0.86206896551724) to get x
382/0.86206896551724=x
443.12=x
x=443.12

now we have:
116% of 382=443.12