10 is what percent of 137900 - 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 137900 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 137900, so we can write it down as 100%=137900.
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%=137900
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%=137900/10
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 137900

100%/x%=137900/10
(100/x)*x=(137900/10)*x       - we multiply both sides of the equation by x
100=13790*x       - we divide both sides of the equation by (13790) to get x
100/13790=x
0.0072516316171139=x
x=0.0072516316171139

now we have:
10 is 0.0072516316171139% of 137900