743.4 is what percent of 1.449 - 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 1.449 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 1.449, so we can write it down as 100%=1.449.
4. We know, that x% equals 743.4 of the output value, so we can write it down as x%=743.4.
5. Now we have two simple equations:
1) 100%=1.449
2) x%=743.4
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%=1.449/743.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 743.4 is what percent of 1.449

100%/x%=1.449/743.4
(100/x)*x=(1.449/743.4)*x       - we multiply both sides of the equation by x
100=0.0019491525423729*x       - we divide both sides of the equation by (0.0019491525423729) to get x
100/0.0019491525423729=x
51304.347826087=x
x=51304.347826087

now we have:
743.4 is 51304.347826087% of 1.449