425.08 is what percent of 1774.7 - 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 1774.7 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 1774.7, so we can write it down as 100%=1774.7.
4. We know, that x% equals 425.08 of the output value, so we can write it down as x%=425.08.
5. Now we have two simple equations:
1) 100%=1774.7
2) x%=425.08
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%=1774.7/425.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.08 is what percent of 1774.7

100%/x%=1774.7/425.08
(100/x)*x=(1774.7/425.08)*x       - we multiply both sides of the equation by x
100=4.1749788275148*x       - we divide both sides of the equation by (4.1749788275148) to get x
100/4.1749788275148=x
23.952217276159=x
x=23.952217276159

now we have:
425.08 is 23.952217276159% of 1774.7