357.73 is what percent of 1780.88 - 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 1780.88 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 1780.88, so we can write it down as 100%=1780.88.
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%=1780.88
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%=1780.88/357.73
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 1780.88

100%/x%=1780.88/357.73
(100/x)*x=(1780.88/357.73)*x       - we multiply both sides of the equation by x
100=4.9782797081598*x       - we divide both sides of the equation by (4.9782797081598) to get x
100/4.9782797081598=x
20.087260230897=x
x=20.087260230897

now we have:
357.73 is 20.087260230897% of 1780.88