867.51 is what percent of 1096 - 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 1096 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 1096, so we can write it down as 100%=1096.
4. We know, that x% equals 867.51 of the output value, so we can write it down as x%=867.51.
5. Now we have two simple equations:
1) 100%=1096
2) x%=867.51
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%=1096/867.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 867.51 is what percent of 1096

100%/x%=1096/867.51
(100/x)*x=(1096/867.51)*x       - we multiply both sides of the equation by x
100=1.2633860128414*x       - we divide both sides of the equation by (1.2633860128414) to get x
100/1.2633860128414=x
79.152372262774=x
x=79.152372262774

now we have:
867.51 is 79.152372262774% of 1096