23.03 is what percent of 20.89 - 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 20.89 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 20.89, so we can write it down as 100%=20.89.
4. We know, that x% equals 23.03 of the output value, so we can write it down as x%=23.03.
5. Now we have two simple equations:
1) 100%=20.89
2) x%=23.03
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%=20.89/23.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.03 is what percent of 20.89

100%/x%=20.89/23.03
(100/x)*x=(20.89/23.03)*x       - we multiply both sides of the equation by x
100=0.9070777247069*x       - we divide both sides of the equation by (0.9070777247069) to get x
100/0.9070777247069=x
110.24413595022=x
x=110.24413595022

now we have:
23.03 is 110.24413595022% of 20.89