433.5 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 433.5 of the output value, so we can write it down as x%=433.5.
5. Now we have two simple equations:
1) 100%=470
2) x%=433.5
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%=470/433.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 433.5 is what percent of 470

100%/x%=470/433.5
(100/x)*x=(470/433.5)*x       - we multiply both sides of the equation by x
100=1.0841983852364*x       - we divide both sides of the equation by (1.0841983852364) to get x
100/1.0841983852364=x
92.234042553191=x
x=92.234042553191

now we have:
433.5 is 92.234042553191% of 470