0.57 is what percent of 36.72 - 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 36.72 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 36.72, so we can write it down as 100%=36.72.
4. We know, that x% equals 0.57 of the output value, so we can write it down as x%=0.57.
5. Now we have two simple equations:
1) 100%=36.72
2) x%=0.57
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%=36.72/0.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.57 is what percent of 36.72

100%/x%=36.72/0.57
(100/x)*x=(36.72/0.57)*x       - we multiply both sides of the equation by x
100=64.421052631579*x       - we divide both sides of the equation by (64.421052631579) to get x
100/64.421052631579=x
1.5522875816993=x
x=1.5522875816993

now we have:
0.57 is 1.5522875816993% of 36.72