427.35 is what percent of 714.87 - 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 714.87 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 714.87, so we can write it down as 100%=714.87.
4. We know, that x% equals 427.35 of the output value, so we can write it down as x%=427.35.
5. Now we have two simple equations:
1) 100%=714.87
2) x%=427.35
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%=714.87/427.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 427.35 is what percent of 714.87

100%/x%=714.87/427.35
(100/x)*x=(714.87/427.35)*x       - we multiply both sides of the equation by x
100=1.6727974727975*x       - we divide both sides of the equation by (1.6727974727975) to get x
100/1.6727974727975=x
59.7800998783=x
x=59.7800998783

now we have:
427.35 is 59.7800998783% of 714.87