27.95 is what percent of 50.3 - 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 50.3 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 50.3, so we can write it down as 100%=50.3.
4. We know, that x% equals 27.95 of the output value, so we can write it down as x%=27.95.
5. Now we have two simple equations:
1) 100%=50.3
2) x%=27.95
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%=50.3/27.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.95 is what percent of 50.3

100%/x%=50.3/27.95
(100/x)*x=(50.3/27.95)*x       - we multiply both sides of the equation by x
100=1.7996422182469*x       - we divide both sides of the equation by (1.7996422182469) to get x
100/1.7996422182469=x
55.566600397614=x
x=55.566600397614

now we have:
27.95 is 55.566600397614% of 50.3