23.25 is what percent of 153 - 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 153 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 153, so we can write it down as 100%=153.
4. We know, that x% equals 23.25 of the output value, so we can write it down as x%=23.25.
5. Now we have two simple equations:
1) 100%=153
2) x%=23.25
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%=153/23.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.25 is what percent of 153

100%/x%=153/23.25
(100/x)*x=(153/23.25)*x       - we multiply both sides of the equation by x
100=6.5806451612903*x       - we divide both sides of the equation by (6.5806451612903) to get x
100/6.5806451612903=x
15.196078431373=x
x=15.196078431373

now we have:
23.25 is 15.196078431373% of 153