272.32 is what percent of 491.68 - 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 491.68 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 491.68, so we can write it down as 100%=491.68.
4. We know, that x% equals 272.32 of the output value, so we can write it down as x%=272.32.
5. Now we have two simple equations:
1) 100%=491.68
2) x%=272.32
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%=491.68/272.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 272.32 is what percent of 491.68

100%/x%=491.68/272.32
(100/x)*x=(491.68/272.32)*x       - we multiply both sides of the equation by x
100=1.8055229142186*x       - we divide both sides of the equation by (1.8055229142186) to get x
100/1.8055229142186=x
55.385616661243=x
x=55.385616661243

now we have:
272.32 is 55.385616661243% of 491.68