73.4 is what percent of 565.2 - 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 565.2 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 565.2, so we can write it down as 100%=565.2.
4. We know, that x% equals 73.4 of the output value, so we can write it down as x%=73.4.
5. Now we have two simple equations:
1) 100%=565.2
2) x%=73.4
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%=565.2/73.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.4 is what percent of 565.2

100%/x%=565.2/73.4
(100/x)*x=(565.2/73.4)*x       - we multiply both sides of the equation by x
100=7.700272479564*x       - we divide both sides of the equation by (7.700272479564) to get x
100/7.700272479564=x
12.986553432413=x
x=12.986553432413

now we have:
73.4 is 12.986553432413% of 565.2