What is 31.7 percent of 22.4 - 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 22.4 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 22.4 is 100%, so we can write it down as 22.4=100%.
4. We know, that x is 31.7% of the output value, so we can write it down as x=31.7%.
5. Now we have two simple equations:
1) 22.4=100%
2) x=31.7%
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:
22.4/x=100%/31.7%
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 31.7% of 22.4

22.4/x=100/31.7
(22.4/x)*x=(100/31.7)*x       - we multiply both sides of the equation by x
22.4=3.1545741324921*x       - we divide both sides of the equation by (3.1545741324921) to get x
22.4/3.1545741324921=x
7.1008=x
x=7.1008

now we have:
31.7% of 22.4=7.1008