10 is what percent of 45.125 - 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 45.125 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 45.125, so we can write it down as 100%=45.125.
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%=45.125
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%=45.125/10
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 45.125

100%/x%=45.125/10
(100/x)*x=(45.125/10)*x       - we multiply both sides of the equation by x
100=4.5125*x       - we divide both sides of the equation by (4.5125) to get x
100/4.5125=x
22.160664819945=x
x=22.160664819945

now we have:
10 is 22.160664819945% of 45.125