32 is what percent of 77.4 - 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 77.4 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 77.4, so we can write it down as 100%=77.4.
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%=77.4
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%=77.4/32
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 77.4

100%/x%=77.4/32
(100/x)*x=(77.4/32)*x       - we multiply both sides of the equation by x
100=2.41875*x       - we divide both sides of the equation by (2.41875) to get x
100/2.41875=x
41.343669250646=x
x=41.343669250646

now we have:
32 is 41.343669250646% of 77.4