What is 15.38 percent of 1542.5 - 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 1542.5 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 1542.5 is 100%, so we can write it down as 1542.5=100%.
4. We know, that x is 15.38% of the output value, so we can write it down as x=15.38%.
5. Now we have two simple equations:
1) 1542.5=100%
2) x=15.38%
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:
1542.5/x=100%/15.38%
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 15.38% of 1542.5

1542.5/x=100/15.38
(1542.5/x)*x=(100/15.38)*x       - we multiply both sides of the equation by x
1542.5=6.5019505851756*x       - we divide both sides of the equation by (6.5019505851756) to get x
1542.5/6.5019505851756=x
237.2365=x
x=237.2365

now we have:
15.38% of 1542.5=237.2365