993.5 is what percent of 1740 - 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 1740 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 1740, so we can write it down as 100%=1740.
4. We know, that x% equals 993.5 of the output value, so we can write it down as x%=993.5.
5. Now we have two simple equations:
1) 100%=1740
2) x%=993.5
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%=1740/993.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 993.5 is what percent of 1740

100%/x%=1740/993.5
(100/x)*x=(1740/993.5)*x       - we multiply both sides of the equation by x
100=1.7513839959738*x       - we divide both sides of the equation by (1.7513839959738) to get x
100/1.7513839959738=x
57.097701149425=x
x=57.097701149425

now we have:
993.5 is 57.097701149425% of 1740