87.91 is what percent of 495.05 - 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 495.05 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 495.05, so we can write it down as 100%=495.05.
4. We know, that x% equals 87.91 of the output value, so we can write it down as x%=87.91.
5. Now we have two simple equations:
1) 100%=495.05
2) x%=87.91
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%=495.05/87.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.91 is what percent of 495.05

100%/x%=495.05/87.91
(100/x)*x=(495.05/87.91)*x       - we multiply both sides of the equation by x
100=5.631327494028*x       - we divide both sides of the equation by (5.631327494028) to get x
100/5.631327494028=x
17.757802242198=x
x=17.757802242198

now we have:
87.91 is 17.757802242198% of 495.05