What is 975.75 percent of 1.06 - 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 1.06 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 1.06 is 100%, so we can write it down as 1.06=100%.
4. We know, that x is 975.75% of the output value, so we can write it down as x=975.75%.
5. Now we have two simple equations:
1) 1.06=100%
2) x=975.75%
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:
1.06/x=100%/975.75%
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 975.75% of 1.06

1.06/x=100/975.75
(1.06/x)*x=(100/975.75)*x       - we multiply both sides of the equation by x
1.06=0.10248526774276*x       - we divide both sides of the equation by (0.10248526774276) to get x
1.06/0.10248526774276=x
10.34295=x
x=10.34295

now we have:
975.75% of 1.06=10.34295