2.35 is what percent of 78.41 - 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 78.41 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 78.41, so we can write it down as 100%=78.41.
4. We know, that x% equals 2.35 of the output value, so we can write it down as x%=2.35.
5. Now we have two simple equations:
1) 100%=78.41
2) x%=2.35
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%=78.41/2.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.35 is what percent of 78.41

100%/x%=78.41/2.35
(100/x)*x=(78.41/2.35)*x       - we multiply both sides of the equation by x
100=33.365957446809*x       - we divide both sides of the equation by (33.365957446809) to get x
100/33.365957446809=x
2.9970667006759=x
x=2.9970667006759

now we have:
2.35 is 2.9970667006759% of 78.41