48.97 is what percent of 291.98 - 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 291.98 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 291.98, so we can write it down as 100%=291.98.
4. We know, that x% equals 48.97 of the output value, so we can write it down as x%=48.97.
5. Now we have two simple equations:
1) 100%=291.98
2) x%=48.97
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%=291.98/48.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.97 is what percent of 291.98

100%/x%=291.98/48.97
(100/x)*x=(291.98/48.97)*x       - we multiply both sides of the equation by x
100=5.9624259750868*x       - we divide both sides of the equation by (5.9624259750868) to get x
100/5.9624259750868=x
16.771696691554=x
x=16.771696691554

now we have:
48.97 is 16.771696691554% of 291.98