49.7 is what percent of 461.5 - 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 461.5 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 461.5, so we can write it down as 100%=461.5.
4. We know, that x% equals 49.7 of the output value, so we can write it down as x%=49.7.
5. Now we have two simple equations:
1) 100%=461.5
2) x%=49.7
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%=461.5/49.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.7 is what percent of 461.5

100%/x%=461.5/49.7
(100/x)*x=(461.5/49.7)*x       - we multiply both sides of the equation by x
100=9.2857142857143*x       - we divide both sides of the equation by (9.2857142857143) to get x
100/9.2857142857143=x
10.769230769231=x
x=10.769230769231

now we have:
49.7 is 10.769230769231% of 461.5