What is 982 percent of 1.082 - 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 1.082 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 1.082 is 100%, so we can write it down as 1.082=100%.
4. We know, that x is 982% of the output value, so we can write it down as x=982%.
5. Now we have two simple equations:
1) 1.082=100%
2) x=982%
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:
1.082/x=100%/982%
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 982% of 1.082

1.082/x=100/982
(1.082/x)*x=(100/982)*x       - we multiply both sides of the equation by x
1.082=0.10183299389002*x       - we divide both sides of the equation by (0.10183299389002) to get x
1.082/0.10183299389002=x
10.62524=x
x=10.62524

now we have:
982% of 1.082=10.62524