933.65 is what percent of 2421.75 - 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 2421.75 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 2421.75, so we can write it down as 100%=2421.75.
4. We know, that x% equals 933.65 of the output value, so we can write it down as x%=933.65.
5. Now we have two simple equations:
1) 100%=2421.75
2) x%=933.65
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%=2421.75/933.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 933.65 is what percent of 2421.75

100%/x%=2421.75/933.65
(100/x)*x=(2421.75/933.65)*x       - we multiply both sides of the equation by x
100=2.5938520858994*x       - we divide both sides of the equation by (2.5938520858994) to get x
100/2.5938520858994=x
38.552699494167=x
x=38.552699494167

now we have:
933.65 is 38.552699494167% of 2421.75