What is 59.7 percent of 76.8 - 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 76.8 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 76.8 is 100%, so we can write it down as 76.8=100%.
4. We know, that x is 59.7% of the output value, so we can write it down as x=59.7%.
5. Now we have two simple equations:
1) 76.8=100%
2) x=59.7%
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:
76.8/x=100%/59.7%
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 59.7% of 76.8

76.8/x=100/59.7
(76.8/x)*x=(100/59.7)*x       - we multiply both sides of the equation by x
76.8=1.6750418760469*x       - we divide both sides of the equation by (1.6750418760469) to get x
76.8/1.6750418760469=x
45.8496=x
x=45.8496

now we have:
59.7% of 76.8=45.8496