551.39 is what percent of 757.96 - 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 757.96 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 757.96, so we can write it down as 100%=757.96.
4. We know, that x% equals 551.39 of the output value, so we can write it down as x%=551.39.
5. Now we have two simple equations:
1) 100%=757.96
2) x%=551.39
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%=757.96/551.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 551.39 is what percent of 757.96

100%/x%=757.96/551.39
(100/x)*x=(757.96/551.39)*x       - we multiply both sides of the equation by x
100=1.3746350133299*x       - we divide both sides of the equation by (1.3746350133299) to get x
100/1.3746350133299=x
72.746582933136=x
x=72.746582933136

now we have:
551.39 is 72.746582933136% of 757.96