233.68 is what percent of 370 - 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 370 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 370, so we can write it down as 100%=370.
4. We know, that x% equals 233.68 of the output value, so we can write it down as x%=233.68.
5. Now we have two simple equations:
1) 100%=370
2) x%=233.68
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%=370/233.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.68 is what percent of 370

100%/x%=370/233.68
(100/x)*x=(370/233.68)*x       - we multiply both sides of the equation by x
100=1.5833618623759*x       - we divide both sides of the equation by (1.5833618623759) to get x
100/1.5833618623759=x
63.156756756757=x
x=63.156756756757

now we have:
233.68 is 63.156756756757% of 370