What is 17.64 percent of 972 - 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 972 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 972 is 100%, so we can write it down as 972=100%.
4. We know, that x is 17.64% of the output value, so we can write it down as x=17.64%.
5. Now we have two simple equations:
1) 972=100%
2) x=17.64%
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:
972/x=100%/17.64%
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 17.64% of 972

972/x=100/17.64
(972/x)*x=(100/17.64)*x       - we multiply both sides of the equation by x
972=5.6689342403628*x       - we divide both sides of the equation by (5.6689342403628) to get x
972/5.6689342403628=x
171.4608=x
x=171.4608

now we have:
17.64% of 972=171.4608