22.51 is what percent of 1500.47 - 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 1500.47 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 1500.47, so we can write it down as 100%=1500.47.
4. We know, that x% equals 22.51 of the output value, so we can write it down as x%=22.51.
5. Now we have two simple equations:
1) 100%=1500.47
2) x%=22.51
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%=1500.47/22.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.51 is what percent of 1500.47

100%/x%=1500.47/22.51
(100/x)*x=(1500.47/22.51)*x       - we multiply both sides of the equation by x
100=66.657929808974*x       - we divide both sides of the equation by (66.657929808974) to get x
100/66.657929808974=x
1.5001966050637=x
x=1.5001966050637

now we have:
22.51 is 1.5001966050637% of 1500.47