What is 8.435 percent of 13.435 - 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 13.435 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 13.435 is 100%, so we can write it down as 13.435=100%.
4. We know, that x is 8.435% of the output value, so we can write it down as x=8.435%.
5. Now we have two simple equations:
1) 13.435=100%
2) x=8.435%
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:
13.435/x=100%/8.435%
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 8.435% of 13.435

13.435/x=100/8.435
(13.435/x)*x=(100/8.435)*x       - we multiply both sides of the equation by x
13.435=11.85536455246*x       - we divide both sides of the equation by (11.85536455246) to get x
13.435/11.85536455246=x
1.13324225=x
x=1.13324225

now we have:
8.435% of 13.435=1.13324225