74.05 is what percent of 757.09 - 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 757.09 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 757.09, so we can write it down as 100%=757.09.
4. We know, that x% equals 74.05 of the output value, so we can write it down as x%=74.05.
5. Now we have two simple equations:
1) 100%=757.09
2) x%=74.05
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%=757.09/74.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.05 is what percent of 757.09

100%/x%=757.09/74.05
(100/x)*x=(757.09/74.05)*x       - we multiply both sides of the equation by x
100=10.224037812289*x       - we divide both sides of the equation by (10.224037812289) to get x
100/10.224037812289=x
9.7808714948025=x
x=9.7808714948025

now we have:
74.05 is 9.7808714948025% of 757.09