What is 9 percent of 75.435 - 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 75.435 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 75.435 is 100%, so we can write it down as 75.435=100%.
4. We know, that x is 9% of the output value, so we can write it down as x=9%.
5. Now we have two simple equations:
1) 75.435=100%
2) x=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:
75.435/x=100%/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 9% of 75.435

75.435/x=100/9
(75.435/x)*x=(100/9)*x       - we multiply both sides of the equation by x
75.435=11.111111111111*x       - we divide both sides of the equation by (11.111111111111) to get x
75.435/11.111111111111=x
6.78915=x
x=6.78915

now we have:
9% of 75.435=6.78915