23.1 is what percent of 34.7 - 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 34.7 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 34.7, so we can write it down as 100%=34.7.
4. We know, that x% equals 23.1 of the output value, so we can write it down as x%=23.1.
5. Now we have two simple equations:
1) 100%=34.7
2) x%=23.1
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%=34.7/23.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.1 is what percent of 34.7

100%/x%=34.7/23.1
(100/x)*x=(34.7/23.1)*x       - we multiply both sides of the equation by x
100=1.5021645021645*x       - we divide both sides of the equation by (1.5021645021645) to get x
100/1.5021645021645=x
66.57060518732=x
x=66.57060518732

now we have:
23.1 is 66.57060518732% of 34.7