179.75 is what percent of 427.25 - 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 427.25 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 427.25, so we can write it down as 100%=427.25.
4. We know, that x% equals 179.75 of the output value, so we can write it down as x%=179.75.
5. Now we have two simple equations:
1) 100%=427.25
2) x%=179.75
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%=427.25/179.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 179.75 is what percent of 427.25

100%/x%=427.25/179.75
(100/x)*x=(427.25/179.75)*x       - we multiply both sides of the equation by x
100=2.3769123783032*x       - we divide both sides of the equation by (2.3769123783032) to get x
100/2.3769123783032=x
42.071386775892=x
x=42.071386775892

now we have:
179.75 is 42.071386775892% of 427.25