What is 45.7 percent of 10400 - 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 10400 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 10400 is 100%, so we can write it down as 10400=100%.
4. We know, that x is 45.7% of the output value, so we can write it down as x=45.7%.
5. Now we have two simple equations:
1) 10400=100%
2) x=45.7%
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:
10400/x=100%/45.7%
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 45.7% of 10400

10400/x=100/45.7
(10400/x)*x=(100/45.7)*x       - we multiply both sides of the equation by x
10400=2.1881838074398*x       - we divide both sides of the equation by (2.1881838074398) to get x
10400/2.1881838074398=x
4752.8=x
x=4752.8

now we have:
45.7% of 10400=4752.8