1742.03 is what percent of 4024 - 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 4024 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 4024, so we can write it down as 100%=4024.
4. We know, that x% equals 1742.03 of the output value, so we can write it down as x%=1742.03.
5. Now we have two simple equations:
1) 100%=4024
2) x%=1742.03
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%=4024/1742.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1742.03 is what percent of 4024

100%/x%=4024/1742.03
(100/x)*x=(4024/1742.03)*x       - we multiply both sides of the equation by x
100=2.3099487379666*x       - we divide both sides of the equation by (2.3099487379666) to get x
100/2.3099487379666=x
43.291003976143=x
x=43.291003976143

now we have:
1742.03 is 43.291003976143% of 4024