126.31 is what percent of 685.67 - 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 685.67 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 685.67, so we can write it down as 100%=685.67.
4. We know, that x% equals 126.31 of the output value, so we can write it down as x%=126.31.
5. Now we have two simple equations:
1) 100%=685.67
2) x%=126.31
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%=685.67/126.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.31 is what percent of 685.67

100%/x%=685.67/126.31
(100/x)*x=(685.67/126.31)*x       - we multiply both sides of the equation by x
100=5.4284696381917*x       - we divide both sides of the equation by (5.4284696381917) to get x
100/5.4284696381917=x
18.421398048624=x
x=18.421398048624

now we have:
126.31 is 18.421398048624% of 685.67