0.49 is what percent of 37.33 - 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 37.33 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 37.33, so we can write it down as 100%=37.33.
4. We know, that x% equals 0.49 of the output value, so we can write it down as x%=0.49.
5. Now we have two simple equations:
1) 100%=37.33
2) x%=0.49
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%=37.33/0.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.49 is what percent of 37.33

100%/x%=37.33/0.49
(100/x)*x=(37.33/0.49)*x       - we multiply both sides of the equation by x
100=76.183673469388*x       - we divide both sides of the equation by (76.183673469388) to get x
100/76.183673469388=x
1.3126171979641=x
x=1.3126171979641

now we have:
0.49 is 1.3126171979641% of 37.33