32.93 is what percent of 1.125 - 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 1.125 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 1.125, so we can write it down as 100%=1.125.
4. We know, that x% equals 32.93 of the output value, so we can write it down as x%=32.93.
5. Now we have two simple equations:
1) 100%=1.125
2) x%=32.93
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%=1.125/32.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.93 is what percent of 1.125

100%/x%=1.125/32.93
(100/x)*x=(1.125/32.93)*x       - we multiply both sides of the equation by x
100=0.034163376860006*x       - we divide both sides of the equation by (0.034163376860006) to get x
100/0.034163376860006=x
2927.1111111111=x
x=2927.1111111111

now we have:
32.93 is 2927.1111111111% of 1.125