24.57 is what percent of 1731.5 - 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 1731.5 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 1731.5, so we can write it down as 100%=1731.5.
4. We know, that x% equals 24.57 of the output value, so we can write it down as x%=24.57.
5. Now we have two simple equations:
1) 100%=1731.5
2) x%=24.57
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%=1731.5/24.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.57 is what percent of 1731.5

100%/x%=1731.5/24.57
(100/x)*x=(1731.5/24.57)*x       - we multiply both sides of the equation by x
100=70.47212047212*x       - we divide both sides of the equation by (70.47212047212) to get x
100/70.47212047212=x
1.4190008663009=x
x=1.4190008663009

now we have:
24.57 is 1.4190008663009% of 1731.5