48 is what percent of 7174 - 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 7174 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 7174, so we can write it down as 100%=7174.
4. We know, that x% equals 48 of the output value, so we can write it down as x%=48.
5. Now we have two simple equations:
1) 100%=7174
2) x%=48
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%=7174/48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48 is what percent of 7174

100%/x%=7174/48
(100/x)*x=(7174/48)*x       - we multiply both sides of the equation by x
100=149.45833333333*x       - we divide both sides of the equation by (149.45833333333) to get x
100/149.45833333333=x
0.66908279899638=x
x=0.66908279899638

now we have:
48 is 0.66908279899638% of 7174