45.6 is what percent of 1477.2 - 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 1477.2 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 1477.2, so we can write it down as 100%=1477.2.
4. We know, that x% equals 45.6 of the output value, so we can write it down as x%=45.6.
5. Now we have two simple equations:
1) 100%=1477.2
2) x%=45.6
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%=1477.2/45.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.6 is what percent of 1477.2

100%/x%=1477.2/45.6
(100/x)*x=(1477.2/45.6)*x       - we multiply both sides of the equation by x
100=32.394736842105*x       - we divide both sides of the equation by (32.394736842105) to get x
100/32.394736842105=x
3.0869212022746=x
x=3.0869212022746

now we have:
45.6 is 3.0869212022746% of 1477.2