74.7 is what percent of 1204.8 - 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 1204.8 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 1204.8, so we can write it down as 100%=1204.8.
4. We know, that x% equals 74.7 of the output value, so we can write it down as x%=74.7.
5. Now we have two simple equations:
1) 100%=1204.8
2) x%=74.7
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%=1204.8/74.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.7 is what percent of 1204.8

100%/x%=1204.8/74.7
(100/x)*x=(1204.8/74.7)*x       - we multiply both sides of the equation by x
100=16.128514056225*x       - we divide both sides of the equation by (16.128514056225) to get x
100/16.128514056225=x
6.2001992031873=x
x=6.2001992031873

now we have:
74.7 is 6.2001992031873% of 1204.8