284.98 is what percent of 1477 - 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 1477 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 1477, so we can write it down as 100%=1477.
4. We know, that x% equals 284.98 of the output value, so we can write it down as x%=284.98.
5. Now we have two simple equations:
1) 100%=1477
2) x%=284.98
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%=1477/284.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 284.98 is what percent of 1477

100%/x%=1477/284.98
(100/x)*x=(1477/284.98)*x       - we multiply both sides of the equation by x
100=5.1828198470068*x       - we divide both sides of the equation by (5.1828198470068) to get x
100/5.1828198470068=x
19.29451591063=x
x=19.29451591063

now we have:
284.98 is 19.29451591063% of 1477