27.91 is what percent of 34.89 - 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 34.89 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 34.89, so we can write it down as 100%=34.89.
4. We know, that x% equals 27.91 of the output value, so we can write it down as x%=27.91.
5. Now we have two simple equations:
1) 100%=34.89
2) x%=27.91
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%=34.89/27.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.91 is what percent of 34.89

100%/x%=34.89/27.91
(100/x)*x=(34.89/27.91)*x       - we multiply both sides of the equation by x
100=1.2500895736295*x       - we divide both sides of the equation by (1.2500895736295) to get x
100/1.2500895736295=x
79.994267698481=x
x=79.994267698481

now we have:
27.91 is 79.994267698481% of 34.89