What is 1023 percent of 1382 - 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 1382 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 1382 is 100%, so we can write it down as 1382=100%.
4. We know, that x is 1023% of the output value, so we can write it down as x=1023%.
5. Now we have two simple equations:
1) 1382=100%
2) x=1023%
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:
1382/x=100%/1023%
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 1023% of 1382

1382/x=100/1023
(1382/x)*x=(100/1023)*x       - we multiply both sides of the equation by x
1382=0.097751710654936*x       - we divide both sides of the equation by (0.097751710654936) to get x
1382/0.097751710654936=x
14137.86=x
x=14137.86

now we have:
1023% of 1382=14137.86