10.49 is what percent of 58.2 - 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 58.2 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 100% equals 58.2, so we can write it down as 100%=58.2.
4. We know, that x% equals 10.49 of the output value, so we can write it down as x%=10.49.
5. Now we have two simple equations:
1) 100%=58.2
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:
100%/x%=58.2/10.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.49 is what percent of 58.2

100%/x%=58.2/10.49
(100/x)*x=(58.2/10.49)*x       - we multiply both sides of the equation by x
100=5.5481410867493*x       - we divide both sides of the equation by (5.5481410867493) to get x
100/5.5481410867493=x
18.024054982818=x
x=18.024054982818

now we have:
10.49 is 18.024054982818% of 58.2