176.52 is what percent of 423.65 - 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 423.65 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 423.65, so we can write it down as 100%=423.65.
4. We know, that x% equals 176.52 of the output value, so we can write it down as x%=176.52.
5. Now we have two simple equations:
1) 100%=423.65
2) x%=176.52
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%=423.65/176.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 176.52 is what percent of 423.65

100%/x%=423.65/176.52
(100/x)*x=(423.65/176.52)*x       - we multiply both sides of the equation by x
100=2.4000113301609*x       - we divide both sides of the equation by (2.4000113301609) to get x
100/2.4000113301609=x
41.666469963413=x
x=41.666469963413

now we have:
176.52 is 41.666469963413% of 423.65