1242.2 is what percent of 1875 - 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 1875 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 1875, so we can write it down as 100%=1875.
4. We know, that x% equals 1242.2 of the output value, so we can write it down as x%=1242.2.
5. Now we have two simple equations:
1) 100%=1875
2) x%=1242.2
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%=1875/1242.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1242.2 is what percent of 1875

100%/x%=1875/1242.2
(100/x)*x=(1875/1242.2)*x       - we multiply both sides of the equation by x
100=1.5094187731444*x       - we divide both sides of the equation by (1.5094187731444) to get x
100/1.5094187731444=x
66.250666666667=x
x=66.250666666667

now we have:
1242.2 is 66.250666666667% of 1875