1002.6 is what percent of 1749 - 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 1749 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 1749, so we can write it down as 100%=1749.
4. We know, that x% equals 1002.6 of the output value, so we can write it down as x%=1002.6.
5. Now we have two simple equations:
1) 100%=1749
2) x%=1002.6
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%=1749/1002.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.6 is what percent of 1749

100%/x%=1749/1002.6
(100/x)*x=(1749/1002.6)*x       - we multiply both sides of the equation by x
100=1.7444643925793*x       - we divide both sides of the equation by (1.7444643925793) to get x
100/1.7444643925793=x
57.324185248714=x
x=57.324185248714

now we have:
1002.6 is 57.324185248714% of 1749