86.4 is what percent of 1268 - 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 1268 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 1268, so we can write it down as 100%=1268.
4. We know, that x% equals 86.4 of the output value, so we can write it down as x%=86.4.
5. Now we have two simple equations:
1) 100%=1268
2) x%=86.4
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%=1268/86.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.4 is what percent of 1268

100%/x%=1268/86.4
(100/x)*x=(1268/86.4)*x       - we multiply both sides of the equation by x
100=14.675925925926*x       - we divide both sides of the equation by (14.675925925926) to get x
100/14.675925925926=x
6.813880126183=x
x=6.813880126183

now we have:
86.4 is 6.813880126183% of 1268