87 is what percent of 688 - 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 688 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 688, so we can write it down as 100%=688.
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%=688
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%=688/87
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 688

100%/x%=688/87
(100/x)*x=(688/87)*x       - we multiply both sides of the equation by x
100=7.9080459770115*x       - we divide both sides of the equation by (7.9080459770115) to get x
100/7.9080459770115=x
12.645348837209=x
x=12.645348837209

now we have:
87 is 12.645348837209% of 688