21.6 is what percent of 229 - 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 229 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 229, so we can write it down as 100%=229.
4. We know, that x% equals 21.6 of the output value, so we can write it down as x%=21.6.
5. Now we have two simple equations:
1) 100%=229
2) x%=21.6
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%=229/21.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.6 is what percent of 229

100%/x%=229/21.6
(100/x)*x=(229/21.6)*x       - we multiply both sides of the equation by x
100=10.601851851852*x       - we divide both sides of the equation by (10.601851851852) to get x
100/10.601851851852=x
9.4323144104804=x
x=9.4323144104804

now we have:
21.6 is 9.4323144104804% of 229