32.2 is what percent of 36.2 - 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 36.2 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 36.2, so we can write it down as 100%=36.2.
4. We know, that x% equals 32.2 of the output value, so we can write it down as x%=32.2.
5. Now we have two simple equations:
1) 100%=36.2
2) x%=32.2
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%=36.2/32.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.2 is what percent of 36.2

100%/x%=36.2/32.2
(100/x)*x=(36.2/32.2)*x       - we multiply both sides of the equation by x
100=1.1242236024845*x       - we divide both sides of the equation by (1.1242236024845) to get x
100/1.1242236024845=x
88.950276243094=x
x=88.950276243094

now we have:
32.2 is 88.950276243094% of 36.2