What is 98.75 percent of 42.4 - 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 42.4 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 42.4 is 100%, so we can write it down as 42.4=100%.
4. We know, that x is 98.75% of the output value, so we can write it down as x=98.75%.
5. Now we have two simple equations:
1) 42.4=100%
2) x=98.75%
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:
42.4/x=100%/98.75%
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 98.75% of 42.4

42.4/x=100/98.75
(42.4/x)*x=(100/98.75)*x       - we multiply both sides of the equation by x
42.4=1.0126582278481*x       - we divide both sides of the equation by (1.0126582278481) to get x
42.4/1.0126582278481=x
41.87=x
x=41.87

now we have:
98.75% of 42.4=41.87