What is 3.2 percent of 967.5 - 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 967.5 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 967.5 is 100%, so we can write it down as 967.5=100%.
4. We know, that x is 3.2% of the output value, so we can write it down as x=3.2%.
5. Now we have two simple equations:
1) 967.5=100%
2) x=3.2%
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:
967.5/x=100%/3.2%
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 3.2% of 967.5

967.5/x=100/3.2
(967.5/x)*x=(100/3.2)*x       - we multiply both sides of the equation by x
967.5=31.25*x       - we divide both sides of the equation by (31.25) to get x
967.5/31.25=x
30.96=x
x=30.96

now we have:
3.2% of 967.5=30.96