36727.95 is what percent of 102798.65 - 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 102798.65 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 102798.65, so we can write it down as 100%=102798.65.
4. We know, that x% equals 36727.95 of the output value, so we can write it down as x%=36727.95.
5. Now we have two simple equations:
1) 100%=102798.65
2) x%=36727.95
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%=102798.65/36727.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36727.95 is what percent of 102798.65

100%/x%=102798.65/36727.95
(100/x)*x=(102798.65/36727.95)*x       - we multiply both sides of the equation by x
100=2.79892152979*x       - we divide both sides of the equation by (2.79892152979) to get x
100/2.79892152979=x
35.7280470123=x
x=35.7280470123

now we have:
36727.95 is 35.7280470123% of 102798.65