235.67 is what percent of 382.42 - 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 382.42 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 382.42, so we can write it down as 100%=382.42.
4. We know, that x% equals 235.67 of the output value, so we can write it down as x%=235.67.
5. Now we have two simple equations:
1) 100%=382.42
2) x%=235.67
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%=382.42/235.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 235.67 is what percent of 382.42

100%/x%=382.42/235.67
(100/x)*x=(382.42/235.67)*x       - we multiply both sides of the equation by x
100=1.6226927483345*x       - we divide both sides of the equation by (1.6226927483345) to get x
100/1.6226927483345=x
61.625960985304=x
x=61.625960985304

now we have:
235.67 is 61.625960985304% of 382.42