46.14 is what percent of 276 - 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 276 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 276, so we can write it down as 100%=276.
4. We know, that x% equals 46.14 of the output value, so we can write it down as x%=46.14.
5. Now we have two simple equations:
1) 100%=276
2) x%=46.14
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%=276/46.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.14 is what percent of 276

100%/x%=276/46.14
(100/x)*x=(276/46.14)*x       - we multiply both sides of the equation by x
100=5.9817945383615*x       - we divide both sides of the equation by (5.9817945383615) to get x
100/5.9817945383615=x
16.717391304348=x
x=16.717391304348

now we have:
46.14 is 16.717391304348% of 276