2.29 is what percent of 15.84 - 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 15.84 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 15.84, so we can write it down as 100%=15.84.
4. We know, that x% equals 2.29 of the output value, so we can write it down as x%=2.29.
5. Now we have two simple equations:
1) 100%=15.84
2) x%=2.29
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%=15.84/2.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.29 is what percent of 15.84

100%/x%=15.84/2.29
(100/x)*x=(15.84/2.29)*x       - we multiply both sides of the equation by x
100=6.9170305676856*x       - we divide both sides of the equation by (6.9170305676856) to get x
100/6.9170305676856=x
14.457070707071=x
x=14.457070707071

now we have:
2.29 is 14.457070707071% of 15.84