21.23 is what percent of 257.36 - 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 257.36 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 257.36, so we can write it down as 100%=257.36.
4. We know, that x% equals 21.23 of the output value, so we can write it down as x%=21.23.
5. Now we have two simple equations:
1) 100%=257.36
2) x%=21.23
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%=257.36/21.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.23 is what percent of 257.36

100%/x%=257.36/21.23
(100/x)*x=(257.36/21.23)*x       - we multiply both sides of the equation by x
100=12.12246820537*x       - we divide both sides of the equation by (12.12246820537) to get x
100/12.12246820537=x
8.249145166304=x
x=8.249145166304

now we have:
21.23 is 8.249145166304% of 257.36