32 is what percent of 1146 - 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 1146 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 1146, so we can write it down as 100%=1146.
4. We know, that x% equals 32 of the output value, so we can write it down as x%=32.
5. Now we have two simple equations:
1) 100%=1146
2) x%=32
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%=1146/32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32 is what percent of 1146

100%/x%=1146/32
(100/x)*x=(1146/32)*x       - we multiply both sides of the equation by x
100=35.8125*x       - we divide both sides of the equation by (35.8125) to get x
100/35.8125=x
2.7923211169284=x
x=2.7923211169284

now we have:
32 is 2.7923211169284% of 1146