5.8 is what percent of 74.8 - 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 74.8 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 74.8, so we can write it down as 100%=74.8.
4. We know, that x% equals 5.8 of the output value, so we can write it down as x%=5.8.
5. Now we have two simple equations:
1) 100%=74.8
2) x%=5.8
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%=74.8/5.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.8 is what percent of 74.8

100%/x%=74.8/5.8
(100/x)*x=(74.8/5.8)*x       - we multiply both sides of the equation by x
100=12.896551724138*x       - we divide both sides of the equation by (12.896551724138) to get x
100/12.896551724138=x
7.7540106951872=x
x=7.7540106951872

now we have:
5.8 is 7.7540106951872% of 74.8