470.75 is what percent of 511.23 - 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 511.23 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 511.23, so we can write it down as 100%=511.23.
4. We know, that x% equals 470.75 of the output value, so we can write it down as x%=470.75.
5. Now we have two simple equations:
1) 100%=511.23
2) x%=470.75
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%=511.23/470.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 470.75 is what percent of 511.23

100%/x%=511.23/470.75
(100/x)*x=(511.23/470.75)*x       - we multiply both sides of the equation by x
100=1.085990440786*x       - we divide both sides of the equation by (1.085990440786) to get x
100/1.085990440786=x
92.081841832443=x
x=92.081841832443

now we have:
470.75 is 92.081841832443% of 511.23