188.67 is what percent of 488.67 - 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 488.67 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 488.67, so we can write it down as 100%=488.67.
4. We know, that x% equals 188.67 of the output value, so we can write it down as x%=188.67.
5. Now we have two simple equations:
1) 100%=488.67
2) x%=188.67
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%=488.67/188.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.67 is what percent of 488.67

100%/x%=488.67/188.67
(100/x)*x=(488.67/188.67)*x       - we multiply both sides of the equation by x
100=2.5900779138178*x       - we divide both sides of the equation by (2.5900779138178) to get x
100/2.5900779138178=x
38.608877156363=x
x=38.608877156363

now we have:
188.67 is 38.608877156363% of 488.67