76.94 is what percent of 238.4 - 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 238.4 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 238.4, so we can write it down as 100%=238.4.
4. We know, that x% equals 76.94 of the output value, so we can write it down as x%=76.94.
5. Now we have two simple equations:
1) 100%=238.4
2) x%=76.94
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%=238.4/76.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.94 is what percent of 238.4

100%/x%=238.4/76.94
(100/x)*x=(238.4/76.94)*x       - we multiply both sides of the equation by x
100=3.0985183259683*x       - we divide both sides of the equation by (3.0985183259683) to get x
100/3.0985183259683=x
32.273489932886=x
x=32.273489932886

now we have:
76.94 is 32.273489932886% of 238.4