10 is what percent of 19748 - 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 19748 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 19748, so we can write it down as 100%=19748.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=19748
2) x%=10
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%=19748/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 19748

100%/x%=19748/10
(100/x)*x=(19748/10)*x       - we multiply both sides of the equation by x
100=1974.8*x       - we divide both sides of the equation by (1974.8) to get x
100/1974.8=x
0.050638039295118=x
x=0.050638039295118

now we have:
10 is 0.050638039295118% of 19748