470.76 is what percent of 924.88 - 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 924.88 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 924.88, so we can write it down as 100%=924.88.
4. We know, that x% equals 470.76 of the output value, so we can write it down as x%=470.76.
5. Now we have two simple equations:
1) 100%=924.88
2) x%=470.76
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%=924.88/470.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 470.76 is what percent of 924.88

100%/x%=924.88/470.76
(100/x)*x=(924.88/470.76)*x       - we multiply both sides of the equation by x
100=1.9646529016909*x       - we divide both sides of the equation by (1.9646529016909) to get x
100/1.9646529016909=x
50.899576161232=x
x=50.899576161232

now we have:
470.76 is 50.899576161232% of 924.88