27.48 is what percent of 182.45 - 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 182.45 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 182.45, so we can write it down as 100%=182.45.
4. We know, that x% equals 27.48 of the output value, so we can write it down as x%=27.48.
5. Now we have two simple equations:
1) 100%=182.45
2) x%=27.48
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%=182.45/27.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.48 is what percent of 182.45

100%/x%=182.45/27.48
(100/x)*x=(182.45/27.48)*x       - we multiply both sides of the equation by x
100=6.6393740902475*x       - we divide both sides of the equation by (6.6393740902475) to get x
100/6.6393740902475=x
15.061660728967=x
x=15.061660728967

now we have:
27.48 is 15.061660728967% of 182.45