521.69 is what percent of 1097.91 - 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 1097.91 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 1097.91, so we can write it down as 100%=1097.91.
4. We know, that x% equals 521.69 of the output value, so we can write it down as x%=521.69.
5. Now we have two simple equations:
1) 100%=1097.91
2) x%=521.69
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%=1097.91/521.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 521.69 is what percent of 1097.91

100%/x%=1097.91/521.69
(100/x)*x=(1097.91/521.69)*x       - we multiply both sides of the equation by x
100=2.1045256761678*x       - we divide both sides of the equation by (2.1045256761678) to get x
100/2.1045256761678=x
47.516645262362=x
x=47.516645262362

now we have:
521.69 is 47.516645262362% of 1097.91