What is 89 percent of 10.6 - 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 10.6 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 10.6 is 100%, so we can write it down as 10.6=100%.
4. We know, that x is 89% of the output value, so we can write it down as x=89%.
5. Now we have two simple equations:
1) 10.6=100%
2) x=89%
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:
10.6/x=100%/89%
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 89% of 10.6

10.6/x=100/89
(10.6/x)*x=(100/89)*x       - we multiply both sides of the equation by x
10.6=1.123595505618*x       - we divide both sides of the equation by (1.123595505618) to get x
10.6/1.123595505618=x
9.434=x
x=9.434

now we have:
89% of 10.6=9.434