23.79 is what percent of 76.21 - 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 76.21 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 76.21, so we can write it down as 100%=76.21.
4. We know, that x% equals 23.79 of the output value, so we can write it down as x%=23.79.
5. Now we have two simple equations:
1) 100%=76.21
2) x%=23.79
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%=76.21/23.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.79 is what percent of 76.21

100%/x%=76.21/23.79
(100/x)*x=(76.21/23.79)*x       - we multiply both sides of the equation by x
100=3.2034468263976*x       - we divide both sides of the equation by (3.2034468263976) to get x
100/3.2034468263976=x
31.2163758037=x
x=31.2163758037

now we have:
23.79 is 31.2163758037% of 76.21