350.09 is what percent of 357.09 - 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 357.09 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 357.09, so we can write it down as 100%=357.09.
4. We know, that x% equals 350.09 of the output value, so we can write it down as x%=350.09.
5. Now we have two simple equations:
1) 100%=357.09
2) x%=350.09
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%=357.09/350.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.09 is what percent of 357.09

100%/x%=357.09/350.09
(100/x)*x=(357.09/350.09)*x       - we multiply both sides of the equation by x
100=1.019994858465*x       - we divide both sides of the equation by (1.019994858465) to get x
100/1.019994858465=x
98.039709877062=x
x=98.039709877062

now we have:
350.09 is 98.039709877062% of 357.09