56.73 is what percent of 30.5 - 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 30.5 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 30.5, so we can write it down as 100%=30.5.
4. We know, that x% equals 56.73 of the output value, so we can write it down as x%=56.73.
5. Now we have two simple equations:
1) 100%=30.5
2) x%=56.73
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%=30.5/56.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56.73 is what percent of 30.5

100%/x%=30.5/56.73
(100/x)*x=(30.5/56.73)*x       - we multiply both sides of the equation by x
100=0.53763440860215*x       - we divide both sides of the equation by (0.53763440860215) to get x
100/0.53763440860215=x
186=x
x=186

now we have:
56.73 is 186% of 30.5