270.4 is what percent of 470 - 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 470 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 470, so we can write it down as 100%=470.
4. We know, that x% equals 270.4 of the output value, so we can write it down as x%=270.4.
5. Now we have two simple equations:
1) 100%=470
2) x%=270.4
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%=470/270.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.4 is what percent of 470

100%/x%=470/270.4
(100/x)*x=(470/270.4)*x       - we multiply both sides of the equation by x
100=1.7381656804734*x       - we divide both sides of the equation by (1.7381656804734) to get x
100/1.7381656804734=x
57.531914893617=x
x=57.531914893617

now we have:
270.4 is 57.531914893617% of 470