What is 103 percent of 0.824 - 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 0.824 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 0.824 is 100%, so we can write it down as 0.824=100%.
4. We know, that x is 103% of the output value, so we can write it down as x=103%.
5. Now we have two simple equations:
1) 0.824=100%
2) x=103%
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:
0.824/x=100%/103%
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 103% of 0.824

0.824/x=100/103
(0.824/x)*x=(100/103)*x       - we multiply both sides of the equation by x
0.824=0.97087378640777*x       - we divide both sides of the equation by (0.97087378640777) to get x
0.824/0.97087378640777=x
0.84872=x
x=0.84872

now we have:
103% of 0.824=0.84872