What is 7.09 percent of 1.046 - 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 1.046 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 1.046 is 100%, so we can write it down as 1.046=100%.
4. We know, that x is 7.09% of the output value, so we can write it down as x=7.09%.
5. Now we have two simple equations:
1) 1.046=100%
2) x=7.09%
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:
1.046/x=100%/7.09%
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 7.09% of 1.046

1.046/x=100/7.09
(1.046/x)*x=(100/7.09)*x       - we multiply both sides of the equation by x
1.046=14.10437235543*x       - we divide both sides of the equation by (14.10437235543) to get x
1.046/14.10437235543=x
0.0741614=x
x=0.0741614

now we have:
7.09% of 1.046=0.0741614