50.9 is what percent of 745 - 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 745 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 745, so we can write it down as 100%=745.
4. We know, that x% equals 50.9 of the output value, so we can write it down as x%=50.9.
5. Now we have two simple equations:
1) 100%=745
2) x%=50.9
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%=745/50.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.9 is what percent of 745

100%/x%=745/50.9
(100/x)*x=(745/50.9)*x       - we multiply both sides of the equation by x
100=14.636542239686*x       - we divide both sides of the equation by (14.636542239686) to get x
100/14.636542239686=x
6.8322147651007=x
x=6.8322147651007

now we have:
50.9 is 6.8322147651007% of 745