What is 5.84 percent of 802.4 - 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 802.4 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 802.4 is 100%, so we can write it down as 802.4=100%.
4. We know, that x is 5.84% of the output value, so we can write it down as x=5.84%.
5. Now we have two simple equations:
1) 802.4=100%
2) x=5.84%
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:
802.4/x=100%/5.84%
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 5.84% of 802.4

802.4/x=100/5.84
(802.4/x)*x=(100/5.84)*x       - we multiply both sides of the equation by x
802.4=17.123287671233*x       - we divide both sides of the equation by (17.123287671233) to get x
802.4/17.123287671233=x
46.86016=x
x=46.86016

now we have:
5.84% of 802.4=46.86016