What is 71.17 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 2400 is 100%, so we can write it down as 2400=100%.
4. We know, that x is 71.17% of the output value, so we can write it down as x=71.17%.
5. Now we have two simple equations:
1) 2400=100%
2) x=71.17%
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:
2400/x=100%/71.17%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 71.17% of 2400

2400/x=100/71.17
(2400/x)*x=(100/71.17)*x       - we multiply both sides of the equation by x
2400=1.4050864128144*x       - we divide both sides of the equation by (1.4050864128144) to get x
2400/1.4050864128144=x
1708.08=x
x=1708.08

now we have:
71.17% of 2400=1708.08