What is 65.3 percent of 1.05 - 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 1.05 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 1.05 is 100%, so we can write it down as 1.05=100%.
4. We know, that x is 65.3% of the output value, so we can write it down as x=65.3%.
5. Now we have two simple equations:
1) 1.05=100%
2) x=65.3%
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:
1.05/x=100%/65.3%
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 65.3% of 1.05

1.05/x=100/65.3
(1.05/x)*x=(100/65.3)*x       - we multiply both sides of the equation by x
1.05=1.531393568147*x       - we divide both sides of the equation by (1.531393568147) to get x
1.05/1.531393568147=x
0.68565=x
x=0.68565

now we have:
65.3% of 1.05=0.68565