94 is what percent of 1072 - 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 1072 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 1072, so we can write it down as 100%=1072.
4. We know, that x% equals 94 of the output value, so we can write it down as x%=94.
5. Now we have two simple equations:
1) 100%=1072
2) x%=94
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%=1072/94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94 is what percent of 1072

100%/x%=1072/94
(100/x)*x=(1072/94)*x       - we multiply both sides of the equation by x
100=11.404255319149*x       - we divide both sides of the equation by (11.404255319149) to get x
100/11.404255319149=x
8.7686567164179=x
x=8.7686567164179

now we have:
94 is 8.7686567164179% of 1072