87.76 is what percent of 104 - 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 104 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 104, so we can write it down as 100%=104.
4. We know, that x% equals 87.76 of the output value, so we can write it down as x%=87.76.
5. Now we have two simple equations:
1) 100%=104
2) x%=87.76
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%=104/87.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87.76 is what percent of 104

100%/x%=104/87.76
(100/x)*x=(104/87.76)*x       - we multiply both sides of the equation by x
100=1.1850501367366*x       - we divide both sides of the equation by (1.1850501367366) to get x
100/1.1850501367366=x
84.384615384615=x
x=84.384615384615

now we have:
87.76 is 84.384615384615% of 104