23.33 is what percent of 179.48 - 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 179.48 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 179.48, so we can write it down as 100%=179.48.
4. We know, that x% equals 23.33 of the output value, so we can write it down as x%=23.33.
5. Now we have two simple equations:
1) 100%=179.48
2) x%=23.33
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%=179.48/23.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.33 is what percent of 179.48

100%/x%=179.48/23.33
(100/x)*x=(179.48/23.33)*x       - we multiply both sides of the equation by x
100=7.6930990141449*x       - we divide both sides of the equation by (7.6930990141449) to get x
100/7.6930990141449=x
12.998662803655=x
x=12.998662803655

now we have:
23.33 is 12.998662803655% of 179.48