1.49 is what percent of 31.37 - 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 31.37 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 31.37, so we can write it down as 100%=31.37.
4. We know, that x% equals 1.49 of the output value, so we can write it down as x%=1.49.
5. Now we have two simple equations:
1) 100%=31.37
2) x%=1.49
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%=31.37/1.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.49 is what percent of 31.37

100%/x%=31.37/1.49
(100/x)*x=(31.37/1.49)*x       - we multiply both sides of the equation by x
100=21.053691275168*x       - we divide both sides of the equation by (21.053691275168) to get x
100/21.053691275168=x
4.7497609180746=x
x=4.7497609180746

now we have:
1.49 is 4.7497609180746% of 31.37