61.87 is what percent of 65 - 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 65 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 100% equals 65, so we can write it down as 100%=65.
4. We know, that x% equals 61.87 of the output value, so we can write it down as x%=61.87.
5. Now we have two simple equations:
1) 100%=65
2) x%=61.87
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:
100%/x%=65/61.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.87 is what percent of 65

100%/x%=65/61.87
(100/x)*x=(65/61.87)*x       - we multiply both sides of the equation by x
100=1.0505899466624*x       - we divide both sides of the equation by (1.0505899466624) to get x
100/1.0505899466624=x
95.184615384615=x
x=95.184615384615

now we have:
61.87 is 95.184615384615% of 65