31.09 is what percent of 1404.75 - 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 1404.75 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 1404.75, so we can write it down as 100%=1404.75.
4. We know, that x% equals 31.09 of the output value, so we can write it down as x%=31.09.
5. Now we have two simple equations:
1) 100%=1404.75
2) x%=31.09
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%=1404.75/31.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.09 is what percent of 1404.75

100%/x%=1404.75/31.09
(100/x)*x=(1404.75/31.09)*x       - we multiply both sides of the equation by x
100=45.183338694114*x       - we divide both sides of the equation by (45.183338694114) to get x
100/45.183338694114=x
2.2132051966542=x
x=2.2132051966542

now we have:
31.09 is 2.2132051966542% of 1404.75