21.9 is what percent of 24.117 - 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 24.117 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 24.117, so we can write it down as 100%=24.117.
4. We know, that x% equals 21.9 of the output value, so we can write it down as x%=21.9.
5. Now we have two simple equations:
1) 100%=24.117
2) x%=21.9
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%=24.117/21.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.9 is what percent of 24.117

100%/x%=24.117/21.9
(100/x)*x=(24.117/21.9)*x       - we multiply both sides of the equation by x
100=1.1012328767123*x       - we divide both sides of the equation by (1.1012328767123) to get x
100/1.1012328767123=x
90.80731434258=x
x=90.80731434258

now we have:
21.9 is 90.80731434258% of 24.117