24.11 is what percent of 30.21 - 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 30.21 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 30.21, so we can write it down as 100%=30.21.
4. We know, that x% equals 24.11 of the output value, so we can write it down as x%=24.11.
5. Now we have two simple equations:
1) 100%=30.21
2) x%=24.11
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%=30.21/24.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.11 is what percent of 30.21

100%/x%=30.21/24.11
(100/x)*x=(30.21/24.11)*x       - we multiply both sides of the equation by x
100=1.2530070510162*x       - we divide both sides of the equation by (1.2530070510162) to get x
100/1.2530070510162=x
79.808010592519=x
x=79.808010592519

now we have:
24.11 is 79.808010592519% of 30.21