What is 1.085 percent of 963.01 - 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 963.01 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 963.01 is 100%, so we can write it down as 963.01=100%.
4. We know, that x is 1.085% of the output value, so we can write it down as x=1.085%.
5. Now we have two simple equations:
1) 963.01=100%
2) x=1.085%
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:
963.01/x=100%/1.085%
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 1.085% of 963.01

963.01/x=100/1.085
(963.01/x)*x=(100/1.085)*x       - we multiply both sides of the equation by x
963.01=92.165898617512*x       - we divide both sides of the equation by (92.165898617512) to get x
963.01/92.165898617512=x
10.4486585=x
x=10.4486585

now we have:
1.085% of 963.01=10.4486585