74.6 is what percent of 284 - 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 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, so we can write it down as 100%=284.
4. We know, that x% equals 74.6 of the output value, so we can write it down as x%=74.6.
5. Now we have two simple equations:
1) 100%=284
2) x%=74.6
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%=284/74.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 74.6 is what percent of 284

100%/x%=284/74.6
(100/x)*x=(284/74.6)*x       - we multiply both sides of the equation by x
100=3.8069705093834*x       - we divide both sides of the equation by (3.8069705093834) to get x
100/3.8069705093834=x
26.267605633803=x
x=26.267605633803

now we have:
74.6 is 26.267605633803% of 284