What is 0.82 percent of 35.365 - 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 35.365 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 35.365 is 100%, so we can write it down as 35.365=100%.
4. We know, that x is 0.82% of the output value, so we can write it down as x=0.82%.
5. Now we have two simple equations:
1) 35.365=100%
2) x=0.82%
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:
35.365/x=100%/0.82%
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 0.82% of 35.365

35.365/x=100/0.82
(35.365/x)*x=(100/0.82)*x       - we multiply both sides of the equation by x
35.365=121.9512195122*x       - we divide both sides of the equation by (121.9512195122) to get x
35.365/121.9512195122=x
0.289993=x
x=0.289993

now we have:
0.82% of 35.365=0.289993