What is 218 percent of 218 - 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 218 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 218 is 100%, so we can write it down as 218=100%.
4. We know, that x is 218% of the output value, so we can write it down as x=218%.
5. Now we have two simple equations:
1) 218=100%
2) x=218%
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:
218/x=100%/218%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 218% of 218

218/x=100/218
(218/x)*x=(100/218)*x       - we multiply both sides of the equation by x
218=0.45871559633028*x       - we divide both sides of the equation by (0.45871559633028) to get x
218/0.45871559633028=x
475.24=x
x=475.24

now we have:
218% of 218=475.24