274.75 is what percent of 351 - 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 351 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 351, so we can write it down as 100%=351.
4. We know, that x% equals 274.75 of the output value, so we can write it down as x%=274.75.
5. Now we have two simple equations:
1) 100%=351
2) x%=274.75
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%=351/274.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 274.75 is what percent of 351

100%/x%=351/274.75
(100/x)*x=(351/274.75)*x       - we multiply both sides of the equation by x
100=1.277525022748*x       - we divide both sides of the equation by (1.277525022748) to get x
100/1.277525022748=x
78.276353276353=x
x=78.276353276353

now we have:
274.75 is 78.276353276353% of 351