What is 21.67 percent of 58.5 - 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 58.5 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 58.5 is 100%, so we can write it down as 58.5=100%.
4. We know, that x is 21.67% of the output value, so we can write it down as x=21.67%.
5. Now we have two simple equations:
1) 58.5=100%
2) x=21.67%
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:
58.5/x=100%/21.67%
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 21.67% of 58.5

58.5/x=100/21.67
(58.5/x)*x=(100/21.67)*x       - we multiply both sides of the equation by x
58.5=4.6146746654361*x       - we divide both sides of the equation by (4.6146746654361) to get x
58.5/4.6146746654361=x
12.67695=x
x=12.67695

now we have:
21.67% of 58.5=12.67695