87 is what percent of 83 - 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 83 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 83, so we can write it down as 100%=83.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=83
2) x%=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%=83/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 83

100%/x%=83/87
(100/x)*x=(83/87)*x       - we multiply both sides of the equation by x
100=0.95402298850575*x       - we divide both sides of the equation by (0.95402298850575) to get x
100/0.95402298850575=x
104.81927710843=x
x=104.81927710843

now we have:
87 is 104.81927710843% of 83