31.42 is what percent of 419.53 - 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 419.53 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 419.53, so we can write it down as 100%=419.53.
4. We know, that x% equals 31.42 of the output value, so we can write it down as x%=31.42.
5. Now we have two simple equations:
1) 100%=419.53
2) x%=31.42
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%=419.53/31.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.42 is what percent of 419.53

100%/x%=419.53/31.42
(100/x)*x=(419.53/31.42)*x       - we multiply both sides of the equation by x
100=13.352323360917*x       - we divide both sides of the equation by (13.352323360917) to get x
100/13.352323360917=x
7.4893333015517=x
x=7.4893333015517

now we have:
31.42 is 7.4893333015517% of 419.53