What is 74.8 percent of 342.79 - 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 342.79 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 342.79 is 100%, so we can write it down as 342.79=100%.
4. We know, that x is 74.8% of the output value, so we can write it down as x=74.8%.
5. Now we have two simple equations:
1) 342.79=100%
2) x=74.8%
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:
342.79/x=100%/74.8%
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 74.8% of 342.79

342.79/x=100/74.8
(342.79/x)*x=(100/74.8)*x       - we multiply both sides of the equation by x
342.79=1.3368983957219*x       - we divide both sides of the equation by (1.3368983957219) to get x
342.79/1.3368983957219=x
256.40692=x
x=256.40692

now we have:
74.8% of 342.79=256.40692