24.6 is what percent of 210.6 - 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 210.6 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 210.6, so we can write it down as 100%=210.6.
4. We know, that x% equals 24.6 of the output value, so we can write it down as x%=24.6.
5. Now we have two simple equations:
1) 100%=210.6
2) x%=24.6
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%=210.6/24.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.6 is what percent of 210.6

100%/x%=210.6/24.6
(100/x)*x=(210.6/24.6)*x       - we multiply both sides of the equation by x
100=8.5609756097561*x       - we divide both sides of the equation by (8.5609756097561) to get x
100/8.5609756097561=x
11.680911680912=x
x=11.680911680912

now we have:
24.6 is 11.680911680912% of 210.6