7 is what percent of 5.41 - 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 5.41 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 5.41, so we can write it down as 100%=5.41.
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%=5.41
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%=5.41/7
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 5.41

100%/x%=5.41/7
(100/x)*x=(5.41/7)*x       - we multiply both sides of the equation by x
100=0.77285714285714*x       - we divide both sides of the equation by (0.77285714285714) to get x
100/0.77285714285714=x
129.39001848429=x
x=129.39001848429

now we have:
7 is 129.39001848429% of 5.41