521.36 is what percent of 2261.04 - 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 2261.04 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 2261.04, so we can write it down as 100%=2261.04.
4. We know, that x% equals 521.36 of the output value, so we can write it down as x%=521.36.
5. Now we have two simple equations:
1) 100%=2261.04
2) x%=521.36
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%=2261.04/521.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.36 is what percent of 2261.04

100%/x%=2261.04/521.36
(100/x)*x=(2261.04/521.36)*x       - we multiply both sides of the equation by x
100=4.3368114162958*x       - we divide both sides of the equation by (4.3368114162958) to get x
100/4.3368114162958=x
23.058415596363=x
x=23.058415596363

now we have:
521.36 is 23.058415596363% of 2261.04