368.97 is what percent of 1742.72 - 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 1742.72 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 1742.72, so we can write it down as 100%=1742.72.
4. We know, that x% equals 368.97 of the output value, so we can write it down as x%=368.97.
5. Now we have two simple equations:
1) 100%=1742.72
2) x%=368.97
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%=1742.72/368.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 368.97 is what percent of 1742.72

100%/x%=1742.72/368.97
(100/x)*x=(1742.72/368.97)*x       - we multiply both sides of the equation by x
100=4.7232024283817*x       - we divide both sides of the equation by (4.7232024283817) to get x
100/4.7232024283817=x
21.172075835476=x
x=21.172075835476

now we have:
368.97 is 21.172075835476% of 1742.72