What is 4.98 percent of 1584.46 - 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 1584.46 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 1584.46 is 100%, so we can write it down as 1584.46=100%.
4. We know, that x is 4.98% of the output value, so we can write it down as x=4.98%.
5. Now we have two simple equations:
1) 1584.46=100%
2) x=4.98%
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:
1584.46/x=100%/4.98%
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 4.98% of 1584.46

1584.46/x=100/4.98
(1584.46/x)*x=(100/4.98)*x       - we multiply both sides of the equation by x
1584.46=20.080321285141*x       - we divide both sides of the equation by (20.080321285141) to get x
1584.46/20.080321285141=x
78.906108=x
x=78.906108

now we have:
4.98% of 1584.46=78.906108