32.6 is what percent of 92.6 - 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 92.6 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 92.6, so we can write it down as 100%=92.6.
4. We know, that x% equals 32.6 of the output value, so we can write it down as x%=32.6.
5. Now we have two simple equations:
1) 100%=92.6
2) x%=32.6
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%=92.6/32.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.6 is what percent of 92.6

100%/x%=92.6/32.6
(100/x)*x=(92.6/32.6)*x       - we multiply both sides of the equation by x
100=2.84049079755*x       - we divide both sides of the equation by (2.84049079755) to get x
100/2.84049079755=x
35.2051835853=x
x=35.2051835853

now we have:
32.6 is 35.2051835853% of 92.6