61.87 is what percent of 880 - 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 880 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 880, so we can write it down as 100%=880.
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%=880
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%=880/61.87
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 880

100%/x%=880/61.87
(100/x)*x=(880/61.87)*x       - we multiply both sides of the equation by x
100=14.223371585583*x       - we divide both sides of the equation by (14.223371585583) to get x
100/14.223371585583=x
7.0306818181818=x
x=7.0306818181818

now we have:
61.87 is 7.0306818181818% of 880