74.3 is what percent of 1074.2 - 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 1074.2 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 1074.2, so we can write it down as 100%=1074.2.
4. We know, that x% equals 74.3 of the output value, so we can write it down as x%=74.3.
5. Now we have two simple equations:
1) 100%=1074.2
2) x%=74.3
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%=1074.2/74.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.3 is what percent of 1074.2

100%/x%=1074.2/74.3
(100/x)*x=(1074.2/74.3)*x       - we multiply both sides of the equation by x
100=14.457604306864*x       - we divide both sides of the equation by (14.457604306864) to get x
100/14.457604306864=x
6.916775274623=x
x=6.916775274623

now we have:
74.3 is 6.916775274623% of 1074.2