76 is what percent of 354 - 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 354 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 354, so we can write it down as 100%=354.
4. We know, that x% equals 76 of the output value, so we can write it down as x%=76.
5. Now we have two simple equations:
1) 100%=354
2) x%=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%=354/76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76 is what percent of 354

100%/x%=354/76
(100/x)*x=(354/76)*x       - we multiply both sides of the equation by x
100=4.6578947368421*x       - we divide both sides of the equation by (4.6578947368421) to get x
100/4.6578947368421=x
21.468926553672=x
x=21.468926553672

now we have:
76 is 21.468926553672% of 354