1438.49 is what percent of 10342 - 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 10342 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 10342, so we can write it down as 100%=10342.
4. We know, that x% equals 1438.49 of the output value, so we can write it down as x%=1438.49.
5. Now we have two simple equations:
1) 100%=10342
2) x%=1438.49
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%=10342/1438.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1438.49 is what percent of 10342

100%/x%=10342/1438.49
(100/x)*x=(10342/1438.49)*x       - we multiply both sides of the equation by x
100=7.1894834166383*x       - we divide both sides of the equation by (7.1894834166383) to get x
100/7.1894834166383=x
13.90920518275=x
x=13.90920518275

now we have:
1438.49 is 13.90920518275% of 10342