8 is what percent of 1426 - 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 1426 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 1426, so we can write it down as 100%=1426.
4. We know, that x% equals 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=1426
2) x%=8
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%=1426/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 1426

100%/x%=1426/8
(100/x)*x=(1426/8)*x       - we multiply both sides of the equation by x
100=178.25*x       - we divide both sides of the equation by (178.25) to get x
100/178.25=x
0.56100981767181=x
x=0.56100981767181

now we have:
8 is 0.56100981767181% of 1426