16.24 is what percent of 76.75 - 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 76.75 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 76.75, so we can write it down as 100%=76.75.
4. We know, that x% equals 16.24 of the output value, so we can write it down as x%=16.24.
5. Now we have two simple equations:
1) 100%=76.75
2) x%=16.24
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:
100%/x%=76.75/16.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.24 is what percent of 76.75

100%/x%=76.75/16.24
(100/x)*x=(76.75/16.24)*x       - we multiply both sides of the equation by x
100=4.7259852216749*x       - we divide both sides of the equation by (4.7259852216749) to get x
100/4.7259852216749=x
21.159609120521=x
x=21.159609120521

now we have:
16.24 is 21.159609120521% of 76.75