237.41 is what percent of 300.21 - 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 300.21 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 300.21, so we can write it down as 100%=300.21.
4. We know, that x% equals 237.41 of the output value, so we can write it down as x%=237.41.
5. Now we have two simple equations:
1) 100%=300.21
2) x%=237.41
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%=300.21/237.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 237.41 is what percent of 300.21

100%/x%=300.21/237.41
(100/x)*x=(300.21/237.41)*x       - we multiply both sides of the equation by x
100=1.2645212922792*x       - we divide both sides of the equation by (1.2645212922792) to get x
100/1.2645212922792=x
79.081309749842=x
x=79.081309749842

now we have:
237.41 is 79.081309749842% of 300.21