188.63 is what percent of 667.85 - 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 667.85 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 667.85, so we can write it down as 100%=667.85.
4. We know, that x% equals 188.63 of the output value, so we can write it down as x%=188.63.
5. Now we have two simple equations:
1) 100%=667.85
2) x%=188.63
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%=667.85/188.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 188.63 is what percent of 667.85

100%/x%=667.85/188.63
(100/x)*x=(667.85/188.63)*x       - we multiply both sides of the equation by x
100=3.5405290780894*x       - we divide both sides of the equation by (3.5405290780894) to get x
100/3.5405290780894=x
28.244366249906=x
x=28.244366249906

now we have:
188.63 is 28.244366249906% of 667.85