32.07 is what percent of 36.34 - 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 36.34 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 36.34, so we can write it down as 100%=36.34.
4. We know, that x% equals 32.07 of the output value, so we can write it down as x%=32.07.
5. Now we have two simple equations:
1) 100%=36.34
2) x%=32.07
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%=36.34/32.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.07 is what percent of 36.34

100%/x%=36.34/32.07
(100/x)*x=(36.34/32.07)*x       - we multiply both sides of the equation by x
100=1.1331462425943*x       - we divide both sides of the equation by (1.1331462425943) to get x
100/1.1331462425943=x
88.249862410567=x
x=88.249862410567

now we have:
32.07 is 88.249862410567% of 36.34