27.7 is what percent of 34.1 - 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 34.1 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 34.1, so we can write it down as 100%=34.1.
4. We know, that x% equals 27.7 of the output value, so we can write it down as x%=27.7.
5. Now we have two simple equations:
1) 100%=34.1
2) x%=27.7
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%=34.1/27.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.7 is what percent of 34.1

100%/x%=34.1/27.7
(100/x)*x=(34.1/27.7)*x       - we multiply both sides of the equation by x
100=1.2310469314079*x       - we divide both sides of the equation by (1.2310469314079) to get x
100/1.2310469314079=x
81.231671554252=x
x=81.231671554252

now we have:
27.7 is 81.231671554252% of 34.1