131.9 is what percent of 686 - 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 686 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 686, so we can write it down as 100%=686.
4. We know, that x% equals 131.9 of the output value, so we can write it down as x%=131.9.
5. Now we have two simple equations:
1) 100%=686
2) x%=131.9
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%=686/131.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 131.9 is what percent of 686

100%/x%=686/131.9
(100/x)*x=(686/131.9)*x       - we multiply both sides of the equation by x
100=5.2009097801365*x       - we divide both sides of the equation by (5.2009097801365) to get x
100/5.2009097801365=x
19.227405247813=x
x=19.227405247813

now we have:
131.9 is 19.227405247813% of 686