21.05 is what percent of 22.89 - 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 22.89 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 22.89, so we can write it down as 100%=22.89.
4. We know, that x% equals 21.05 of the output value, so we can write it down as x%=21.05.
5. Now we have two simple equations:
1) 100%=22.89
2) x%=21.05
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%=22.89/21.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.05 is what percent of 22.89

100%/x%=22.89/21.05
(100/x)*x=(22.89/21.05)*x       - we multiply both sides of the equation by x
100=1.0874109263658*x       - we divide both sides of the equation by (1.0874109263658) to get x
100/1.0874109263658=x
91.961555264308=x
x=91.961555264308

now we have:
21.05 is 91.961555264308% of 22.89