118.76 is what percent of 284.79 - 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 284.79 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 284.79, so we can write it down as 100%=284.79.
4. We know, that x% equals 118.76 of the output value, so we can write it down as x%=118.76.
5. Now we have two simple equations:
1) 100%=284.79
2) x%=118.76
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%=284.79/118.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.76 is what percent of 284.79

100%/x%=284.79/118.76
(100/x)*x=(284.79/118.76)*x       - we multiply both sides of the equation by x
100=2.3980296396093*x       - we divide both sides of the equation by (2.3980296396093) to get x
100/2.3980296396093=x
41.700902419327=x
x=41.700902419327

now we have:
118.76 is 41.700902419327% of 284.79