5 is what percent of 7.347 - 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 7.347 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 7.347, so we can write it down as 100%=7.347.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=7.347
2) x%=5
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%=7.347/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 7.347

100%/x%=7.347/5
(100/x)*x=(7.347/5)*x       - we multiply both sides of the equation by x
100=1.4694*x       - we divide both sides of the equation by (1.4694) to get x
100/1.4694=x
68.054988430652=x
x=68.054988430652

now we have:
5 is 68.054988430652% of 7.347