389.21 is what percent of 470.18 - 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 470.18 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 470.18, so we can write it down as 100%=470.18.
4. We know, that x% equals 389.21 of the output value, so we can write it down as x%=389.21.
5. Now we have two simple equations:
1) 100%=470.18
2) x%=389.21
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%=470.18/389.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 389.21 is what percent of 470.18

100%/x%=470.18/389.21
(100/x)*x=(470.18/389.21)*x       - we multiply both sides of the equation by x
100=1.2080367924771*x       - we divide both sides of the equation by (1.2080367924771) to get x
100/1.2080367924771=x
82.778935726743=x
x=82.778935726743

now we have:
389.21 is 82.778935726743% of 470.18