22.34 is what percent of 146.16 - 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 146.16 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 146.16, so we can write it down as 100%=146.16.
4. We know, that x% equals 22.34 of the output value, so we can write it down as x%=22.34.
5. Now we have two simple equations:
1) 100%=146.16
2) x%=22.34
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%=146.16/22.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.34 is what percent of 146.16

100%/x%=146.16/22.34
(100/x)*x=(146.16/22.34)*x       - we multiply both sides of the equation by x
100=6.5425246195166*x       - we divide both sides of the equation by (6.5425246195166) to get x
100/6.5425246195166=x
15.284619594964=x
x=15.284619594964

now we have:
22.34 is 15.284619594964% of 146.16