10 is what percent of 212500 - 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 212500 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 212500, so we can write it down as 100%=212500.
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%=212500
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%=212500/10
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 212500

100%/x%=212500/10
(100/x)*x=(212500/10)*x       - we multiply both sides of the equation by x
100=21250*x       - we divide both sides of the equation by (21250) to get x
100/21250=x
0.0047058823529412=x
x=0.0047058823529412

now we have:
10 is 0.0047058823529412% of 212500