142.7 is what percent of 1825 - 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 1825 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 1825, so we can write it down as 100%=1825.
4. We know, that x% equals 142.7 of the output value, so we can write it down as x%=142.7.
5. Now we have two simple equations:
1) 100%=1825
2) x%=142.7
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%=1825/142.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.7 is what percent of 1825

100%/x%=1825/142.7
(100/x)*x=(1825/142.7)*x       - we multiply both sides of the equation by x
100=12.789067974772*x       - we divide both sides of the equation by (12.789067974772) to get x
100/12.789067974772=x
7.8191780821918=x
x=7.8191780821918

now we have:
142.7 is 7.8191780821918% of 1825