What is 5.824 percent of 5.376 - 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 5.376 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 5.376 is 100%, so we can write it down as 5.376=100%.
4. We know, that x is 5.824% of the output value, so we can write it down as x=5.824%.
5. Now we have two simple equations:
1) 5.376=100%
2) x=5.824%
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:
5.376/x=100%/5.824%
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 5.824% of 5.376

5.376/x=100/5.824
(5.376/x)*x=(100/5.824)*x       - we multiply both sides of the equation by x
5.376=17.17032967033*x       - we divide both sides of the equation by (17.17032967033) to get x
5.376/17.17032967033=x
0.31309824=x
x=0.31309824

now we have:
5.824% of 5.376=0.31309824