36.59 is what percent of 74.65 - 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 74.65 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 74.65, so we can write it down as 100%=74.65.
4. We know, that x% equals 36.59 of the output value, so we can write it down as x%=36.59.
5. Now we have two simple equations:
1) 100%=74.65
2) x%=36.59
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%=74.65/36.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.59 is what percent of 74.65

100%/x%=74.65/36.59
(100/x)*x=(74.65/36.59)*x       - we multiply both sides of the equation by x
100=2.0401749111779*x       - we divide both sides of the equation by (2.0401749111779) to get x
100/2.0401749111779=x
49.01540522438=x
x=49.01540522438

now we have:
36.59 is 49.01540522438% of 74.65