10 is what percent of 45.29 - 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 45.29 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 45.29, so we can write it down as 100%=45.29.
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%=45.29
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%=45.29/10
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 45.29

100%/x%=45.29/10
(100/x)*x=(45.29/10)*x       - we multiply both sides of the equation by x
100=4.529*x       - we divide both sides of the equation by (4.529) to get x
100/4.529=x
22.079929344226=x
x=22.079929344226

now we have:
10 is 22.079929344226% of 45.29