27.34 is what percent of 34.17 - 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 34.17 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 34.17, so we can write it down as 100%=34.17.
4. We know, that x% equals 27.34 of the output value, so we can write it down as x%=27.34.
5. Now we have two simple equations:
1) 100%=34.17
2) x%=27.34
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%=34.17/27.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.34 is what percent of 34.17

100%/x%=34.17/27.34
(100/x)*x=(34.17/27.34)*x       - we multiply both sides of the equation by x
100=1.2498171177762*x       - we divide both sides of the equation by (1.2498171177762) to get x
100/1.2498171177762=x
80.011706175007=x
x=80.011706175007

now we have:
27.34 is 80.011706175007% of 34.17