347.4 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 347.4 of the output value, so we can write it down as x%=347.4.
5. Now we have two simple equations:
1) 100%=470
2) x%=347.4
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%=470/347.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 347.4 is what percent of 470

100%/x%=470/347.4
(100/x)*x=(470/347.4)*x       - we multiply both sides of the equation by x
100=1.3529073114565*x       - we divide both sides of the equation by (1.3529073114565) to get x
100/1.3529073114565=x
73.914893617021=x
x=73.914893617021

now we have:
347.4 is 73.914893617021% of 470