350.7 is what percent of 262.99 - 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 262.99 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 262.99, so we can write it down as 100%=262.99.
4. We know, that x% equals 350.7 of the output value, so we can write it down as x%=350.7.
5. Now we have two simple equations:
1) 100%=262.99
2) x%=350.7
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%=262.99/350.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 350.7 is what percent of 262.99

100%/x%=262.99/350.7
(100/x)*x=(262.99/350.7)*x       - we multiply both sides of the equation by x
100=0.7499001996008*x       - we divide both sides of the equation by (0.7499001996008) to get x
100/0.7499001996008=x
133.35107798776=x
x=133.35107798776

now we have:
350.7 is 133.35107798776% of 262.99