10 is what percent of 82400 - 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 82400 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 82400, so we can write it down as 100%=82400.
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%=82400
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%=82400/10
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 82400

100%/x%=82400/10
(100/x)*x=(82400/10)*x       - we multiply both sides of the equation by x
100=8240*x       - we divide both sides of the equation by (8240) to get x
100/8240=x
0.012135922330097=x
x=0.012135922330097

now we have:
10 is 0.012135922330097% of 82400