740.53 is what percent of 7795.09 - 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 7795.09 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 7795.09, so we can write it down as 100%=7795.09.
4. We know, that x% equals 740.53 of the output value, so we can write it down as x%=740.53.
5. Now we have two simple equations:
1) 100%=7795.09
2) x%=740.53
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%=7795.09/740.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 740.53 is what percent of 7795.09

100%/x%=7795.09/740.53
(100/x)*x=(7795.09/740.53)*x       - we multiply both sides of the equation by x
100=10.526366251198*x       - we divide both sides of the equation by (10.526366251198) to get x
100/10.526366251198=x
9.4999544585117=x
x=9.4999544585117

now we have:
740.53 is 9.4999544585117% of 7795.09