299.85 is what percent of 749.59 - 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 749.59 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 749.59, so we can write it down as 100%=749.59.
4. We know, that x% equals 299.85 of the output value, so we can write it down as x%=299.85.
5. Now we have two simple equations:
1) 100%=749.59
2) x%=299.85
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%=749.59/299.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.85 is what percent of 749.59

100%/x%=749.59/299.85
(100/x)*x=(749.59/299.85)*x       - we multiply both sides of the equation by x
100=2.4998832749708*x       - we divide both sides of the equation by (2.4998832749708) to get x
100/2.4998832749708=x
40.001867687669=x
x=40.001867687669

now we have:
299.85 is 40.001867687669% of 749.59