1948.53 is what percent of 4242.65 - 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 4242.65 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 4242.65, so we can write it down as 100%=4242.65.
4. We know, that x% equals 1948.53 of the output value, so we can write it down as x%=1948.53.
5. Now we have two simple equations:
1) 100%=4242.65
2) x%=1948.53
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%=4242.65/1948.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1948.53 is what percent of 4242.65

100%/x%=4242.65/1948.53
(100/x)*x=(4242.65/1948.53)*x       - we multiply both sides of the equation by x
100=2.177359342684*x       - we divide both sides of the equation by (2.177359342684) to get x
100/2.177359342684=x
45.927191731583=x
x=45.927191731583

now we have:
1948.53 is 45.927191731583% of 4242.65