145.75 is what percent of 1697.4 - 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 1697.4 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 1697.4, so we can write it down as 100%=1697.4.
4. We know, that x% equals 145.75 of the output value, so we can write it down as x%=145.75.
5. Now we have two simple equations:
1) 100%=1697.4
2) x%=145.75
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%=1697.4/145.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 145.75 is what percent of 1697.4

100%/x%=1697.4/145.75
(100/x)*x=(1697.4/145.75)*x       - we multiply both sides of the equation by x
100=11.645969125214*x       - we divide both sides of the equation by (11.645969125214) to get x
100/11.645969125214=x
8.5866619535761=x
x=8.5866619535761

now we have:
145.75 is 8.5866619535761% of 1697.4