187.14 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 187.14 of the output value, so we can write it down as x%=187.14.
5. Now we have two simple equations:
1) 100%=880
2) x%=187.14
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%=880/187.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 187.14 is what percent of 880

100%/x%=880/187.14
(100/x)*x=(880/187.14)*x       - we multiply both sides of the equation by x
100=4.7023618681201*x       - we divide both sides of the equation by (4.7023618681201) to get x
100/4.7023618681201=x
21.265909090909=x
x=21.265909090909

now we have:
187.14 is 21.265909090909% of 880