743.13 is what percent of 1021.3 - 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 1021.3 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 1021.3, so we can write it down as 100%=1021.3.
4. We know, that x% equals 743.13 of the output value, so we can write it down as x%=743.13.
5. Now we have two simple equations:
1) 100%=1021.3
2) x%=743.13
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%=1021.3/743.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 743.13 is what percent of 1021.3

100%/x%=1021.3/743.13
(100/x)*x=(1021.3/743.13)*x       - we multiply both sides of the equation by x
100=1.3743221239891*x       - we divide both sides of the equation by (1.3743221239891) to get x
100/1.3743221239891=x
72.76314501126=x
x=72.76314501126

now we have:
743.13 is 72.76314501126% of 1021.3