8742 is what percent of 3 - 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 3 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 3, so we can write it down as 100%=3.
4. We know, that x% equals 8742 of the output value, so we can write it down as x%=8742.
5. Now we have two simple equations:
1) 100%=3
2) x%=8742
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%=3/8742
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8742 is what percent of 3

100%/x%=3/8742
(100/x)*x=(3/8742)*x       - we multiply both sides of the equation by x
100=0.00034317089910776*x       - we divide both sides of the equation by (0.00034317089910776) to get x
100/0.00034317089910776=x
291400=x
x=291400

now we have:
8742 is 291400% of 3