314.29 is what percent of 1.562 - 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 1.562 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 1.562, so we can write it down as 100%=1.562.
4. We know, that x% equals 314.29 of the output value, so we can write it down as x%=314.29.
5. Now we have two simple equations:
1) 100%=1.562
2) x%=314.29
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%=1.562/314.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 314.29 is what percent of 1.562

100%/x%=1.562/314.29
(100/x)*x=(1.562/314.29)*x       - we multiply both sides of the equation by x
100=0.0049699322281969*x       - we divide both sides of the equation by (0.0049699322281969) to get x
100/0.0049699322281969=x
20120.99871959=x
x=20120.99871959

now we have:
314.29 is 20120.99871959% of 1.562