What is 9.67 percent of 470 - 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 470 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 470 is 100%, so we can write it down as 470=100%.
4. We know, that x is 9.67% of the output value, so we can write it down as x=9.67%.
5. Now we have two simple equations:
1) 470=100%
2) x=9.67%
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:
470/x=100%/9.67%
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 9.67% of 470

470/x=100/9.67
(470/x)*x=(100/9.67)*x       - we multiply both sides of the equation by x
470=10.341261633919*x       - we divide both sides of the equation by (10.341261633919) to get x
470/10.341261633919=x
45.449=x
x=45.449

now we have:
9.67% of 470=45.449