371.58 is what percent of 749.3 - 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 749.3 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 749.3, so we can write it down as 100%=749.3.
4. We know, that x% equals 371.58 of the output value, so we can write it down as x%=371.58.
5. Now we have two simple equations:
1) 100%=749.3
2) x%=371.58
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%=749.3/371.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 371.58 is what percent of 749.3

100%/x%=749.3/371.58
(100/x)*x=(749.3/371.58)*x       - we multiply both sides of the equation by x
100=2.0165240325098*x       - we divide both sides of the equation by (2.0165240325098) to get x
100/2.0165240325098=x
49.590284265314=x
x=49.590284265314

now we have:
371.58 is 49.590284265314% of 749.3