402.66 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 402.66 of the output value, so we can write it down as x%=402.66.
5. Now we have two simple equations:
1) 100%=470
2) x%=402.66
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%=470/402.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.66 is what percent of 470

100%/x%=470/402.66
(100/x)*x=(470/402.66)*x       - we multiply both sides of the equation by x
100=1.1672378681766*x       - we divide both sides of the equation by (1.1672378681766) to get x
100/1.1672378681766=x
85.672340425532=x
x=85.672340425532

now we have:
402.66 is 85.672340425532% of 470