What is 73.8 percent of 98.4 - 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 98.4 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 98.4 is 100%, so we can write it down as 98.4=100%.
4. We know, that x is 73.8% of the output value, so we can write it down as x=73.8%.
5. Now we have two simple equations:
1) 98.4=100%
2) x=73.8%
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:
98.4/x=100%/73.8%
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 73.8% of 98.4

98.4/x=100/73.8
(98.4/x)*x=(100/73.8)*x       - we multiply both sides of the equation by x
98.4=1.3550135501355*x       - we divide both sides of the equation by (1.3550135501355) to get x
98.4/1.3550135501355=x
72.6192=x
x=72.6192

now we have:
73.8% of 98.4=72.6192