54 is what percent of 1493 - 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 1493 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 1493, so we can write it down as 100%=1493.
4. We know, that x% equals 54 of the output value, so we can write it down as x%=54.
5. Now we have two simple equations:
1) 100%=1493
2) x%=54
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%=1493/54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 54 is what percent of 1493

100%/x%=1493/54
(100/x)*x=(1493/54)*x       - we multiply both sides of the equation by x
100=27.648148148148*x       - we divide both sides of the equation by (27.648148148148) to get x
100/27.648148148148=x
3.616878767582=x
x=3.616878767582

now we have:
54 is 3.616878767582% of 1493