62 is what percent of 1742 - 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 1742 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 1742, so we can write it down as 100%=1742.
4. We know, that x% equals 62 of the output value, so we can write it down as x%=62.
5. Now we have two simple equations:
1) 100%=1742
2) x%=62
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%=1742/62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62 is what percent of 1742

100%/x%=1742/62
(100/x)*x=(1742/62)*x       - we multiply both sides of the equation by x
100=28.096774193548*x       - we divide both sides of the equation by (28.096774193548) to get x
100/28.096774193548=x
3.5591274397245=x
x=3.5591274397245

now we have:
62 is 3.5591274397245% of 1742