What is 20.2 percent of 76400 - 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 76400 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 76400 is 100%, so we can write it down as 76400=100%.
4. We know, that x is 20.2% of the output value, so we can write it down as x=20.2%.
5. Now we have two simple equations:
1) 76400=100%
2) x=20.2%
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:
76400/x=100%/20.2%
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 20.2% of 76400

76400/x=100/20.2
(76400/x)*x=(100/20.2)*x       - we multiply both sides of the equation by x
76400=4.950495049505*x       - we divide both sides of the equation by (4.950495049505) to get x
76400/4.950495049505=x
15432.8=x
x=15432.8

now we have:
20.2% of 76400=15432.8