What is 31.125 percent of 56.3 - 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 56.3 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 56.3 is 100%, so we can write it down as 56.3=100%.
4. We know, that x is 31.125% of the output value, so we can write it down as x=31.125%.
5. Now we have two simple equations:
1) 56.3=100%
2) x=31.125%
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:
56.3/x=100%/31.125%
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 31.125% of 56.3

56.3/x=100/31.125
(56.3/x)*x=(100/31.125)*x       - we multiply both sides of the equation by x
56.3=3.2128514056225*x       - we divide both sides of the equation by (3.2128514056225) to get x
56.3/3.2128514056225=x
17.523375=x
x=17.523375

now we have:
31.125% of 56.3=17.523375