What is 5.81 percent of 102.38 - 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 102.38 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 102.38 is 100%, so we can write it down as 102.38=100%.
4. We know, that x is 5.81% of the output value, so we can write it down as x=5.81%.
5. Now we have two simple equations:
1) 102.38=100%
2) x=5.81%
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:
102.38/x=100%/5.81%
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 5.81% of 102.38

102.38/x=100/5.81
(102.38/x)*x=(100/5.81)*x       - we multiply both sides of the equation by x
102.38=17.211703958692*x       - we divide both sides of the equation by (17.211703958692) to get x
102.38/17.211703958692=x
5.948278=x
x=5.948278

now we have:
5.81% of 102.38=5.948278