What is 10.9 percent of 6.46 - 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 6.46 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 6.46 is 100%, so we can write it down as 6.46=100%.
4. We know, that x is 10.9% of the output value, so we can write it down as x=10.9%.
5. Now we have two simple equations:
1) 6.46=100%
2) x=10.9%
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:
6.46/x=100%/10.9%
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 10.9% of 6.46

6.46/x=100/10.9
(6.46/x)*x=(100/10.9)*x       - we multiply both sides of the equation by x
6.46=9.1743119266055*x       - we divide both sides of the equation by (9.1743119266055) to get x
6.46/9.1743119266055=x
0.70414=x
x=0.70414

now we have:
10.9% of 6.46=0.70414