7 is what percent of 1376 - 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 1376 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 1376, so we can write it down as 100%=1376.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=1376
2) x%=7
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%=1376/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 1376

100%/x%=1376/7
(100/x)*x=(1376/7)*x       - we multiply both sides of the equation by x
100=196.57142857143*x       - we divide both sides of the equation by (196.57142857143) to get x
100/196.57142857143=x
0.50872093023256=x
x=0.50872093023256

now we have:
7 is 0.50872093023256% of 1376