565.47 is what percent of 1299.34 - 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 1299.34 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 1299.34, so we can write it down as 100%=1299.34.
4. We know, that x% equals 565.47 of the output value, so we can write it down as x%=565.47.
5. Now we have two simple equations:
1) 100%=1299.34
2) x%=565.47
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%=1299.34/565.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 565.47 is what percent of 1299.34

100%/x%=1299.34/565.47
(100/x)*x=(1299.34/565.47)*x       - we multiply both sides of the equation by x
100=2.2978053654482*x       - we divide both sides of the equation by (2.2978053654482) to get x
100/2.2978053654482=x
43.519786968769=x
x=43.519786968769

now we have:
565.47 is 43.519786968769% of 1299.34