31.62 is what percent of 418 - 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 418 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 418, so we can write it down as 100%=418.
4. We know, that x% equals 31.62 of the output value, so we can write it down as x%=31.62.
5. Now we have two simple equations:
1) 100%=418
2) x%=31.62
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%=418/31.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.62 is what percent of 418

100%/x%=418/31.62
(100/x)*x=(418/31.62)*x       - we multiply both sides of the equation by x
100=13.219481340923*x       - we divide both sides of the equation by (13.219481340923) to get x
100/13.219481340923=x
7.5645933014354=x
x=7.5645933014354

now we have:
31.62 is 7.5645933014354% of 418