34.67 is what percent of 38.37 - 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 38.37 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 38.37, so we can write it down as 100%=38.37.
4. We know, that x% equals 34.67 of the output value, so we can write it down as x%=34.67.
5. Now we have two simple equations:
1) 100%=38.37
2) x%=34.67
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%=38.37/34.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.67 is what percent of 38.37

100%/x%=38.37/34.67
(100/x)*x=(38.37/34.67)*x       - we multiply both sides of the equation by x
100=1.1067205076435*x       - we divide both sides of the equation by (1.1067205076435) to get x
100/1.1067205076435=x
90.357049778473=x
x=90.357049778473

now we have:
34.67 is 90.357049778473% of 38.37