What is 15.625 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 15.625% of the output value, so we can write it down as x=15.625%.
5. Now we have two simple equations:
1) 470=100%
2) x=15.625%
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%/15.625%
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 15.625% of 470

470/x=100/15.625
(470/x)*x=(100/15.625)*x       - we multiply both sides of the equation by x
470=6.4*x       - we divide both sides of the equation by (6.4) to get x
470/6.4=x
73.4375=x
x=73.4375

now we have:
15.625% of 470=73.4375