What is 5.7 percent of 7.83 - 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 7.83 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 7.83 is 100%, so we can write it down as 7.83=100%.
4. We know, that x is 5.7% of the output value, so we can write it down as x=5.7%.
5. Now we have two simple equations:
1) 7.83=100%
2) x=5.7%
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:
7.83/x=100%/5.7%
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 5.7% of 7.83

7.83/x=100/5.7
(7.83/x)*x=(100/5.7)*x       - we multiply both sides of the equation by x
7.83=17.543859649123*x       - we divide both sides of the equation by (17.543859649123) to get x
7.83/17.543859649123=x
0.44631=x
x=0.44631

now we have:
5.7% of 7.83=0.44631