74 is what percent of 2470 - 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 2470 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 2470, so we can write it down as 100%=2470.
4. We know, that x% equals 74 of the output value, so we can write it down as x%=74.
5. Now we have two simple equations:
1) 100%=2470
2) x%=74
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%=2470/74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74 is what percent of 2470

100%/x%=2470/74
(100/x)*x=(2470/74)*x       - we multiply both sides of the equation by x
100=33.378378378378*x       - we divide both sides of the equation by (33.378378378378) to get x
100/33.378378378378=x
2.995951417004=x
x=2.995951417004

now we have:
74 is 2.995951417004% of 2470