What is 59.4 percent of 77.4 - 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 77.4 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 77.4 is 100%, so we can write it down as 77.4=100%.
4. We know, that x is 59.4% of the output value, so we can write it down as x=59.4%.
5. Now we have two simple equations:
1) 77.4=100%
2) x=59.4%
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:
77.4/x=100%/59.4%
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 59.4% of 77.4

77.4/x=100/59.4
(77.4/x)*x=(100/59.4)*x       - we multiply both sides of the equation by x
77.4=1.6835016835017*x       - we divide both sides of the equation by (1.6835016835017) to get x
77.4/1.6835016835017=x
45.9756=x
x=45.9756

now we have:
59.4% of 77.4=45.9756