73.6 is what percent of 220.4 - 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 220.4 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 220.4, so we can write it down as 100%=220.4.
4. We know, that x% equals 73.6 of the output value, so we can write it down as x%=73.6.
5. Now we have two simple equations:
1) 100%=220.4
2) x%=73.6
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%=220.4/73.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.6 is what percent of 220.4

100%/x%=220.4/73.6
(100/x)*x=(220.4/73.6)*x       - we multiply both sides of the equation by x
100=2.9945652173913*x       - we divide both sides of the equation by (2.9945652173913) to get x
100/2.9945652173913=x
33.393829401089=x
x=33.393829401089

now we have:
73.6 is 33.393829401089% of 220.4