1493.79 is what percent of 5062.5 - 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 5062.5 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 5062.5, so we can write it down as 100%=5062.5.
4. We know, that x% equals 1493.79 of the output value, so we can write it down as x%=1493.79.
5. Now we have two simple equations:
1) 100%=5062.5
2) x%=1493.79
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%=5062.5/1493.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1493.79 is what percent of 5062.5

100%/x%=5062.5/1493.79
(100/x)*x=(5062.5/1493.79)*x       - we multiply both sides of the equation by x
100=3.3890305866286*x       - we divide both sides of the equation by (3.3890305866286) to get x
100/3.3890305866286=x
29.506962962963=x
x=29.506962962963

now we have:
1493.79 is 29.506962962963% of 5062.5