1171.42 is what percent of 1497.67 - 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 1497.67 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 1497.67, so we can write it down as 100%=1497.67.
4. We know, that x% equals 1171.42 of the output value, so we can write it down as x%=1171.42.
5. Now we have two simple equations:
1) 100%=1497.67
2) x%=1171.42
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%=1497.67/1171.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1171.42 is what percent of 1497.67

100%/x%=1497.67/1171.42
(100/x)*x=(1497.67/1171.42)*x       - we multiply both sides of the equation by x
100=1.2785081354254*x       - we divide both sides of the equation by (1.2785081354254) to get x
100/1.2785081354254=x
78.216162438989=x
x=78.216162438989

now we have:
1171.42 is 78.216162438989% of 1497.67