218.32 is what percent of 2027.23 - 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 2027.23 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 2027.23, so we can write it down as 100%=2027.23.
4. We know, that x% equals 218.32 of the output value, so we can write it down as x%=218.32.
5. Now we have two simple equations:
1) 100%=2027.23
2) x%=218.32
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%=2027.23/218.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 218.32 is what percent of 2027.23

100%/x%=2027.23/218.32
(100/x)*x=(2027.23/218.32)*x       - we multiply both sides of the equation by x
100=9.2855899596922*x       - we divide both sides of the equation by (9.2855899596922) to get x
100/9.2855899596922=x
10.769374959921=x
x=10.769374959921

now we have:
218.32 is 10.769374959921% of 2027.23