366.5 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 366.5 of the output value, so we can write it down as x%=366.5.
5. Now we have two simple equations:
1) 100%=470
2) x%=366.5
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%=470/366.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 366.5 is what percent of 470

100%/x%=470/366.5
(100/x)*x=(470/366.5)*x       - we multiply both sides of the equation by x
100=1.2824010914052*x       - we divide both sides of the equation by (1.2824010914052) to get x
100/1.2824010914052=x
77.978723404255=x
x=77.978723404255

now we have:
366.5 is 77.978723404255% of 470