750.96 is what percent of 4693.42 - 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 4693.42 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 4693.42, so we can write it down as 100%=4693.42.
4. We know, that x% equals 750.96 of the output value, so we can write it down as x%=750.96.
5. Now we have two simple equations:
1) 100%=4693.42
2) x%=750.96
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%=4693.42/750.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 750.96 is what percent of 4693.42

100%/x%=4693.42/750.96
(100/x)*x=(4693.42/750.96)*x       - we multiply both sides of the equation by x
100=6.2498934696921*x       - we divide both sides of the equation by (6.2498934696921) to get x
100/6.2498934696921=x
16.000272722237=x
x=16.000272722237

now we have:
750.96 is 16.000272722237% of 4693.42