715.3 is what percent of 284.7 - 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 284.7 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 284.7, so we can write it down as 100%=284.7.
4. We know, that x% equals 715.3 of the output value, so we can write it down as x%=715.3.
5. Now we have two simple equations:
1) 100%=284.7
2) x%=715.3
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%=284.7/715.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 715.3 is what percent of 284.7

100%/x%=284.7/715.3
(100/x)*x=(284.7/715.3)*x       - we multiply both sides of the equation by x
100=0.39801481895708*x       - we divide both sides of the equation by (0.39801481895708) to get x
100/0.39801481895708=x
251.24692658939=x
x=251.24692658939

now we have:
715.3 is 251.24692658939% of 284.7