513.46 is what percent of 685.46 - 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 685.46 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 685.46, so we can write it down as 100%=685.46.
4. We know, that x% equals 513.46 of the output value, so we can write it down as x%=513.46.
5. Now we have two simple equations:
1) 100%=685.46
2) x%=513.46
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%=685.46/513.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 513.46 is what percent of 685.46

100%/x%=685.46/513.46
(100/x)*x=(685.46/513.46)*x       - we multiply both sides of the equation by x
100=1.3349822771005*x       - we divide both sides of the equation by (1.3349822771005) to get x
100/1.3349822771005=x
74.907361479882=x
x=74.907361479882

now we have:
513.46 is 74.907361479882% of 685.46