457.18 is what percent of 1385.4 - 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 1385.4 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 1385.4, so we can write it down as 100%=1385.4.
4. We know, that x% equals 457.18 of the output value, so we can write it down as x%=457.18.
5. Now we have two simple equations:
1) 100%=1385.4
2) x%=457.18
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%=1385.4/457.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 457.18 is what percent of 1385.4

100%/x%=1385.4/457.18
(100/x)*x=(1385.4/457.18)*x       - we multiply both sides of the equation by x
100=3.0303162868017*x       - we divide both sides of the equation by (3.0303162868017) to get x
100/3.0303162868017=x
32.999855637361=x
x=32.999855637361

now we have:
457.18 is 32.999855637361% of 1385.4