What is 61.25 percent of 77 - 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 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 is 100%, so we can write it down as 77=100%.
4. We know, that x is 61.25% of the output value, so we can write it down as x=61.25%.
5. Now we have two simple equations:
1) 77=100%
2) x=61.25%
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/x=100%/61.25%
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 61.25% of 77

77/x=100/61.25
(77/x)*x=(100/61.25)*x       - we multiply both sides of the equation by x
77=1.6326530612245*x       - we divide both sides of the equation by (1.6326530612245) to get x
77/1.6326530612245=x
47.1625=x
x=47.1625

now we have:
61.25% of 77=47.1625