47.37 is what percent of 1495.2 - 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 1495.2 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 1495.2, so we can write it down as 100%=1495.2.
4. We know, that x% equals 47.37 of the output value, so we can write it down as x%=47.37.
5. Now we have two simple equations:
1) 100%=1495.2
2) x%=47.37
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%=1495.2/47.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.37 is what percent of 1495.2

100%/x%=1495.2/47.37
(100/x)*x=(1495.2/47.37)*x       - we multiply both sides of the equation by x
100=31.564281190627*x       - we divide both sides of the equation by (31.564281190627) to get x
100/31.564281190627=x
3.1681380417335=x
x=3.1681380417335

now we have:
47.37 is 3.1681380417335% of 1495.2