351.7 is what percent of 551.7 - 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 551.7 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 551.7, so we can write it down as 100%=551.7.
4. We know, that x% equals 351.7 of the output value, so we can write it down as x%=351.7.
5. Now we have two simple equations:
1) 100%=551.7
2) x%=351.7
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%=551.7/351.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 351.7 is what percent of 551.7

100%/x%=551.7/351.7
(100/x)*x=(551.7/351.7)*x       - we multiply both sides of the equation by x
100=1.5686664771112*x       - we divide both sides of the equation by (1.5686664771112) to get x
100/1.5686664771112=x
63.748413993112=x
x=63.748413993112

now we have:
351.7 is 63.748413993112% of 551.7