What is 7.24 percent of 75.86 - 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 75.86 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 75.86 is 100%, so we can write it down as 75.86=100%.
4. We know, that x is 7.24% of the output value, so we can write it down as x=7.24%.
5. Now we have two simple equations:
1) 75.86=100%
2) x=7.24%
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:
75.86/x=100%/7.24%
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 7.24% of 75.86

75.86/x=100/7.24
(75.86/x)*x=(100/7.24)*x       - we multiply both sides of the equation by x
75.86=13.812154696133*x       - we divide both sides of the equation by (13.812154696133) to get x
75.86/13.812154696133=x
5.492264=x
x=5.492264

now we have:
7.24% of 75.86=5.492264