71.48 is what percent of 1850 - 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 1850 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 1850, so we can write it down as 100%=1850.
4. We know, that x% equals 71.48 of the output value, so we can write it down as x%=71.48.
5. Now we have two simple equations:
1) 100%=1850
2) x%=71.48
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%=1850/71.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.48 is what percent of 1850

100%/x%=1850/71.48
(100/x)*x=(1850/71.48)*x       - we multiply both sides of the equation by x
100=25.8813654169*x       - we divide both sides of the equation by (25.8813654169) to get x
100/25.8813654169=x
3.8637837837838=x
x=3.8637837837838

now we have:
71.48 is 3.8637837837838% of 1850