What is 61 percent of 61 - 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 61 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 61 is 100%, so we can write it down as 61=100%.
4. We know, that x is 61% of the output value, so we can write it down as x=61%.
5. Now we have two simple equations:
1) 61=100%
2) x=61%
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:
61/x=100%/61%
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% of 61

61/x=100/61
(61/x)*x=(100/61)*x       - we multiply both sides of the equation by x
61=1.6393442622951*x       - we divide both sides of the equation by (1.6393442622951) to get x
61/1.6393442622951=x
37.21=x
x=37.21

now we have:
61% of 61=37.21