470.47 is what percent of 8994.87 - 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 8994.87 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 8994.87, so we can write it down as 100%=8994.87.
4. We know, that x% equals 470.47 of the output value, so we can write it down as x%=470.47.
5. Now we have two simple equations:
1) 100%=8994.87
2) x%=470.47
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%=8994.87/470.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 470.47 is what percent of 8994.87

100%/x%=8994.87/470.47
(100/x)*x=(8994.87/470.47)*x       - we multiply both sides of the equation by x
100=19.118902374222*x       - we divide both sides of the equation by (19.118902374222) to get x
100/19.118902374222=x
5.2304257871431=x
x=5.2304257871431

now we have:
470.47 is 5.2304257871431% of 8994.87