742.4 is what percent of 2011 - 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 2011 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 2011, so we can write it down as 100%=2011.
4. We know, that x% equals 742.4 of the output value, so we can write it down as x%=742.4.
5. Now we have two simple equations:
1) 100%=2011
2) x%=742.4
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%=2011/742.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 742.4 is what percent of 2011

100%/x%=2011/742.4
(100/x)*x=(2011/742.4)*x       - we multiply both sides of the equation by x
100=2.7087823275862*x       - we divide both sides of the equation by (2.7087823275862) to get x
100/2.7087823275862=x
36.916956737941=x
x=36.916956737941

now we have:
742.4 is 36.916956737941% of 2011