23 is what percent of 414.5 - 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 414.5 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 414.5, so we can write it down as 100%=414.5.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=414.5
2) x%=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%=414.5/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 414.5

100%/x%=414.5/23
(100/x)*x=(414.5/23)*x       - we multiply both sides of the equation by x
100=18.021739130435*x       - we divide both sides of the equation by (18.021739130435) to get x
100/18.021739130435=x
5.5488540410133=x
x=5.5488540410133

now we have:
23 is 5.5488540410133% of 414.5