350.18 is what percent of 510.18 - 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 510.18 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 510.18, so we can write it down as 100%=510.18.
4. We know, that x% equals 350.18 of the output value, so we can write it down as x%=350.18.
5. Now we have two simple equations:
1) 100%=510.18
2) x%=350.18
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%=510.18/350.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.18 is what percent of 510.18

100%/x%=510.18/350.18
(100/x)*x=(510.18/350.18)*x       - we multiply both sides of the equation by x
100=1.4569078759495*x       - we divide both sides of the equation by (1.4569078759495) to get x
100/1.4569078759495=x
68.638519738132=x
x=68.638519738132

now we have:
350.18 is 68.638519738132% of 510.18