What is 29.68 percent of 975 - 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 975 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 975 is 100%, so we can write it down as 975=100%.
4. We know, that x is 29.68% of the output value, so we can write it down as x=29.68%.
5. Now we have two simple equations:
1) 975=100%
2) x=29.68%
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:
975/x=100%/29.68%
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 29.68% of 975

975/x=100/29.68
(975/x)*x=(100/29.68)*x       - we multiply both sides of the equation by x
975=3.3692722371968*x       - we divide both sides of the equation by (3.3692722371968) to get x
975/3.3692722371968=x
289.38=x
x=289.38

now we have:
29.68% of 975=289.38