419.1 is what percent of 1270 - 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 1270 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 1270, so we can write it down as 100%=1270.
4. We know, that x% equals 419.1 of the output value, so we can write it down as x%=419.1.
5. Now we have two simple equations:
1) 100%=1270
2) x%=419.1
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%=1270/419.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.1 is what percent of 1270

100%/x%=1270/419.1
(100/x)*x=(1270/419.1)*x       - we multiply both sides of the equation by x
100=3.030303030303*x       - we divide both sides of the equation by (3.030303030303) to get x
100/3.030303030303=x
33=x
x=33

now we have:
419.1 is 33% of 1270