What is 59.75 percent of 79.5 - 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 79.5 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 79.5 is 100%, so we can write it down as 79.5=100%.
4. We know, that x is 59.75% of the output value, so we can write it down as x=59.75%.
5. Now we have two simple equations:
1) 79.5=100%
2) x=59.75%
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:
79.5/x=100%/59.75%
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 59.75% of 79.5

79.5/x=100/59.75
(79.5/x)*x=(100/59.75)*x       - we multiply both sides of the equation by x
79.5=1.673640167364*x       - we divide both sides of the equation by (1.673640167364) to get x
79.5/1.673640167364=x
47.50125=x
x=47.50125

now we have:
59.75% of 79.5=47.50125