357.73 is what percent of 1661.8 - 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 1661.8 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 1661.8, so we can write it down as 100%=1661.8.
4. We know, that x% equals 357.73 of the output value, so we can write it down as x%=357.73.
5. Now we have two simple equations:
1) 100%=1661.8
2) x%=357.73
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%=1661.8/357.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 357.73 is what percent of 1661.8

100%/x%=1661.8/357.73
(100/x)*x=(1661.8/357.73)*x       - we multiply both sides of the equation by x
100=4.6454029575378*x       - we divide both sides of the equation by (4.6454029575378) to get x
100/4.6454029575378=x
21.526657840895=x
x=21.526657840895

now we have:
357.73 is 21.526657840895% of 1661.8