What is 10.49 percent of 58.25 - 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 58.25 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 58.25 is 100%, so we can write it down as 58.25=100%.
4. We know, that x is 10.49% of the output value, so we can write it down as x=10.49%.
5. Now we have two simple equations:
1) 58.25=100%
2) x=10.49%
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:
58.25/x=100%/10.49%
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 10.49% of 58.25

58.25/x=100/10.49
(58.25/x)*x=(100/10.49)*x       - we multiply both sides of the equation by x
58.25=9.532888465205*x       - we divide both sides of the equation by (9.532888465205) to get x
58.25/9.532888465205=x
6.110425=x
x=6.110425

now we have:
10.49% of 58.25=6.110425