1470.17 is what percent of 2400 - 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 2400 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 2400, so we can write it down as 100%=2400.
4. We know, that x% equals 1470.17 of the output value, so we can write it down as x%=1470.17.
5. Now we have two simple equations:
1) 100%=2400
2) x%=1470.17
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%=2400/1470.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1470.17 is what percent of 2400

100%/x%=2400/1470.17
(100/x)*x=(2400/1470.17)*x       - we multiply both sides of the equation by x
100=1.6324642728392*x       - we divide both sides of the equation by (1.6324642728392) to get x
100/1.6324642728392=x
61.257083333333=x
x=61.257083333333

now we have:
1470.17 is 61.257083333333% of 2400