What is 1000 percent of 0.825 - 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 0.825 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 0.825 is 100%, so we can write it down as 0.825=100%.
4. We know, that x is 1000% of the output value, so we can write it down as x=1000%.
5. Now we have two simple equations:
1) 0.825=100%
2) x=1000%
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:
0.825/x=100%/1000%
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 1000% of 0.825

0.825/x=100/1000
(0.825/x)*x=(100/1000)*x       - we multiply both sides of the equation by x
0.825=0.1*x       - we divide both sides of the equation by (0.1) to get x
0.825/0.1=x
8.25=x
x=8.25

now we have:
1000% of 0.825=8.25