What is 21.4 percent of 171.6 - 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 171.6 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 171.6 is 100%, so we can write it down as 171.6=100%.
4. We know, that x is 21.4% of the output value, so we can write it down as x=21.4%.
5. Now we have two simple equations:
1) 171.6=100%
2) x=21.4%
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:
171.6/x=100%/21.4%
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 21.4% of 171.6

171.6/x=100/21.4
(171.6/x)*x=(100/21.4)*x       - we multiply both sides of the equation by x
171.6=4.6728971962617*x       - we divide both sides of the equation by (4.6728971962617) to get x
171.6/4.6728971962617=x
36.7224=x
x=36.7224

now we have:
21.4% of 171.6=36.7224